Greatest Common Factor of 960/28, 165/21, 232/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 960/28, 165/21, 232/852

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 960/28,165/21,232/852

Given fractions are 960/28,165/21,232/852

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 960,165,232

Greatest Common Factor of Numerators i.e. GCF of 960,165,232 is 1 .

LCM of Denominators means LCM of 28,21,852 as per the given fractions.

LCM of 28,21,852 is 5964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 960,165,232

GCF of Fractions 960/28,165/21,232/852 is 1/5964

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 960,165,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,165,232 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 960,165,232 . The biggest common factor number is the GCF number.
So the greatest common factor 960,165,232 is 1.

Lets's calculate LCM of 28,21,852

2 28, 21, 852
2 14, 21, 426
3 7, 21, 213
7 7, 7, 71
1, 1, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 71 = 5964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5964

Therefore, the GCF of Fractions 960/28,165/21,232/852 is 1/5964

Least Common Multiple of 28,21,852 with GCF Formula

Least Common Multiple of 28,21,852 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,21,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,21,852) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(28,21,852) x common factors =1 x 84 = 84

LCM(28,21,852) = ( 28 × 21 × 852 ) / 84

LCM(28,21,852) = 500976 / 84

LCM(28,21,852) = 5964


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 960/28, 165/21, 232/852

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 960/28, 165/21, 232/852?

Answer: GCF of Numerators as per given numbers 960/28, 165/21, 232/852 is

GCF of Numerators i.e. for 960,165,232 is 1

LCM of denominators i.e. for 28,21,852 is 5964.

Thus, GCF of Fractions is 1/5964.Finally, GCF of Fractions for 960/28, 165/21, 232/852 is 1/5964.