# How is GCF and LCM alike and different?

Table of Contents

- 1 How is GCF and LCM alike and different?
- 2 What is the connection between GCD and LCM?
- 3 What is the difference between the least common multiple and the Greatest Common Factor of 12 and 16?
- 4 What are the different methods in finding the GCF and LCM?
- 5 How do you find the GCF and LCM in math?
- 6 How do you find the GCF and LCM?
- 7 Can the GCF and the LCM be the same?
- 8 Can two numbers have the same lcm as GCF?

## How is GCF and LCM alike and different?

The biggest difference between the GCF and the LCM is that one is based upon what can divide evenly into two numbers (GCF), while the other depends on what number shared between two integers can be divided by the two integers (LCM). That’s exactly what the GCF and LCM finds –how two whole numbers relate to each other.

**How are the Greatest Common Factor and the least common factor alike?**

GCF and LCM are actually not alike at all and they are often easily confused. We tend to hear GREATEST and LOWEST when we hear these names. The lowest common factor will always be 1. The Greatest Common FACTOR of several numbers is the highest FACTOR (ie a small value) which divides INTO all of the given numbers.

### What is the connection between GCD and LCM?

The least common multiple (LCM) of two integers is the smallest positive integer that is a multiple of both. The greatest common divisor (GCD) of two integers is the largest positive integer dividing both. The product of the two numbers is the product of the LCM and the GCD.

**How can you tell the difference between GCF and LCM word problems?**

Starts here9:55LCM and GCF word problems – YouTubeYouTubeStart of suggested clipEnd of suggested clip58 second suggested clipWhich stands for least common multiple or GCF greatest common factor to solve word problems thereMoreWhich stands for least common multiple or GCF greatest common factor to solve word problems there are a few things that we want to talk about in terms of each so I made a t-chart.

## What is the difference between the least common multiple and the Greatest Common Factor of 12 and 16?

These are factors of 12 because 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.

**How do you explain Greatest Common Factor?**

When we find all the factors of two or more numbers, and some factors are the same (“common”), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

### What are the different methods in finding the GCF and LCM?

To find the GCF, multiply all the common factors (the numbers to the left outside the slide-forms the number “1”) To find the LCM, multiple all the common factors and the numbers on the bottom (all the numbers on the left outside the slide, and underneath the slide-forms a big “L”)

**How do you find LCM and GCF using factor tree?**

Starts here12:10Use a factor tree to find the LCM and GCF of three numbers (Super Easy)YouTube

## How do you find the GCF and LCM in math?

Starts here4:31Find The LCM AND GCF – YouTubeYouTube

**How are the GCF the LCM and the product of two numbers related?**

Simply put, the greatest common factor of a and b when multiplied to the least common multiple of a and b is equal to the product of a and b. That is, a and b are positive integers.

### How do you find the GCF and LCM?

**Is GCF and HCF same?**

Examples of greatest common factor or highest common factor or greatest common divisor are discussed here. In greatest common factor (G.C.F)or highest common factor (H.C.F) or greatest common divisor (G.C.D), we know that there is no difference between them. 1.

## Can the GCF and the LCM be the same?

The biggest difference between the GCF and the is that one is based upon what can divide evenly into two numbers (GCF), while the other depends on what number shared between two integers can be divided by the two integers (LCM). That’s exactly what the GCF and LCM finds -how two whole numbers relate to each other. Additionally, what is

**Which is greater GCF or LCM?**

Given any two numbers, LCM of the numbers is greater than the GCF of the numbers. Because LCM multiplies all the multiples of both numbers while GCF multiples only the factors found in both numbers. Even though 3 and 8 has no common factor, their GCF is equal to 1. Since 1 divides into everything.

### Can two numbers have the same lcm as GCF?

LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. To find either the LCM or the GCF of two or more numbers, you start the same way: begin with prime factorization of all numbers.

**What is the difference between the GCF and the LCM?**

The biggest difference between the GCF and the LCM is that one is based upon what can divide evenly into two numbers (GCF), while the other depends on what number shared between two integers can be divided by the two integers (LCM).