Greatest Common Factor of 96/720, 9536/6271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/720, 9536/6271

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 96/720,9536/6271

Given fractions are 96/720,9536/6271

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 96,9536

Greatest Common Factor of Numerators i.e. GCF of 96,9536 is 32 .

LCM of Denominators means LCM of 720,6271 as per the given fractions.

LCM of 720,6271 is 4515120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,9536

GCF of Fractions 96/720,9536/6271 is 32/4515120

2 96, 9536
2 48, 4768
2 24, 2384
2 12, 1192
2 6, 596
3, 298

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 96,9536 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,9536 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 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1,2,4,8,16,32,64,149,298,596,1192,2384,4768,9536

Greatest Common Factor

We found the factors 96,9536 . The biggest common factor number is the GCF number.
So the greatest common factor 96,9536 is 32.

Lets's calculate LCM of 720,6271

Given numbers has no common factors except 1. So, there LCM is their product i.e 4515120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/4515120

Therefore, the GCF of Fractions 96/720,9536/6271 is 32/4515120

Least Common Multiple of 720,6271 with GCF Formula

Least Common Multiple of 720,6271 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 720,6271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,6271) = 1

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

GCF(720,6271) x common factors =1 x 1 = 1

LCM(720,6271) = ( 720 × 6271 ) / 1

LCM(720,6271) = 4515120 / 1

LCM(720,6271) = 4515120


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 96/720, 9536/6271

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 96/720, 9536/6271?

Answer: GCF of Numerators as per given numbers 96/720, 9536/6271 is

GCF of Numerators i.e. for 96,9536 is 32

LCM of denominators i.e. for 720,6271 is 4515120.

Thus, GCF of Fractions is 32/4515120.Finally, GCF of Fractions for 96/720, 9536/6271 is 32/4515120.