Greatest Common Factor of 710/9688, 960/8932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/9688, 960/8932

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 710/9688,960/8932

Given fractions are 710/9688,960/8932

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 710,960

Greatest Common Factor of Numerators i.e. GCF of 710,960 is 10 .

LCM of Denominators means LCM of 9688,8932 as per the given fractions.

LCM of 9688,8932 is 3090472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,960

GCF of Fractions 710/9688,960/8932 is 10/3090472

2 710, 960
5 355, 480
71, 96

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 710,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,960 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

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

Greatest Common Factor

We found the factors 710,960 . The biggest common factor number is the GCF number.
So the greatest common factor 710,960 is 10.

Lets's calculate LCM of 9688,8932

2 9688, 8932
2 4844, 4466
7 2422, 2233
346, 319

∴ So the LCM of the given numbers is 2 x 2 x 7 x 346 x 319 = 3090472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3090472

Therefore, the GCF of Fractions 710/9688,960/8932 is 10/3090472

Least Common Multiple of 9688,8932 with GCF Formula

Least Common Multiple of 9688,8932 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 9688,8932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9688,8932) = 28

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

GCF(9688,8932) x common factors =28 x 1 = 28

LCM(9688,8932) = ( 9688 × 8932 ) / 28

LCM(9688,8932) = 86533216 / 28

LCM(9688,8932) = 3090472


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 710/9688, 960/8932

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 710/9688, 960/8932?

Answer: GCF of Numerators as per given numbers 710/9688, 960/8932 is

GCF of Numerators i.e. for 710,960 is 10

LCM of denominators i.e. for 9688,8932 is 3090472.

Thus, GCF of Fractions is 10/3090472.Finally, GCF of Fractions for 710/9688, 960/8932 is 10/3090472.