Table of Contents

## What is GCF worksheet?

A large collection of GCF worksheets is meticulously drafted for students in grade 5 through grade 8. GCF is also known as ‘greatest common divisor'(GCD), ‘highest common factor'(HCF), ‘greatest common measure'(GCM) or ‘highest common divisor'(HCD).

## What is the GCF of 40 and 25?

5

Answer: GCF of 25 and 40 is 5.

**What are the different 4 step plan in solving the word problems involving GCF and LCM?**

We Use the 4-step plan in solving problems involving GCF and LCM of two given numbers. Understand, Plan, Solve, and Check and Look Back. We solve for the answers by listing method, prime factorization, or continuous division.

### What is the common prime factor of 6 and 21?

3

GCF of 6 and 21 by Prime Factorization Prime factorization of 6 and 21 is (2 × 3) and (3 × 7) respectively. As visible, 6 and 21 have only one common prime factor i.e. 3. Hence, the GCF of 6 and 21 is 3.

### How do you explain LCM in math?

LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20. Now, if we consider the multiples of 16 and 20, we get; 16 → 16, 32, 48, 64, 80,…

**Which of the following number is not a factor of 24?**

FAQs on Factors of 24 The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24 and its negative factors are -1, -2, -3, -4, -6, -8, -12, -24.

## What is the prime factorization of 8 and 12?

2 × 2 × 2

To find the GCF of 8 and 12, we will find the prime factorization of the given numbers, i.e. 8 = 2 × 2 × 2; 12 = 2 × 2 × 3.

## What is the GCF of 40 and 24?

8

Answer: GCF of 24 and 40 is 8. Explanation: The GCF of two non-zero integers, x(24) and y(40), is the greatest positive integer m(8) that divides both x(24) and y(40) without any remainder.

**How to find GCF and LCM?**

– All even numbers are divisible by two. – When summed, any number whose digits are equal to 3 is divisible by three. – All numbers that end in 5 or 0 are divisible by five. – Any number that ends in 0 is divisible by ten.

### Which is greater GCF or LCM?

GCF refers to the greatest number that can be a factor of two whole numbers. Whereas, a lower common multiple stands for the lowest number that is a multiple of two whole numbers. The smallest integer that appears as a common multiple and can be divided by the given numbers is LCM. The highest integer shared by all given numbers is GCF.

### What are some examples of LCM and GCF in Algebra?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators.