Greatest Common Factor of 96/431, 632/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/431, 632/420

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 96/431,632/420

Given fractions are 96/431,632/420

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 96,632

Greatest Common Factor of Numerators i.e. GCF of 96,632 is 8 .

LCM of Denominators means LCM of 431,420 as per the given fractions.

LCM of 431,420 is 181020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,632

GCF of Fractions 96/431,632/420 is 8/181020

2 96, 632
2 48, 316
2 24, 158
12, 79

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 96,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,632 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 96,632 . The biggest common factor number is the GCF number.
So the greatest common factor 96,632 is 8.

Lets's calculate LCM of 431,420

Given numbers has no common factors except 1. So, there LCM is their product i.e 181020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/181020

Therefore, the GCF of Fractions 96/431,632/420 is 8/181020

Least Common Multiple of 431,420 with GCF Formula

Least Common Multiple of 431,420 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 431,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,420) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(431,420) x common factors =1 x 1 = 1

LCM(431,420) = ( 431 × 420 ) / 1

LCM(431,420) = 181020 / 1

LCM(431,420) = 181020


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 96/431, 632/420

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 96/431, 632/420?

Answer: GCF of Numerators as per given numbers 96/431, 632/420 is

GCF of Numerators i.e. for 96,632 is 8

LCM of denominators i.e. for 431,420 is 181020.

Thus, GCF of Fractions is 8/181020.Finally, GCF of Fractions for 96/431, 632/420 is 8/181020.