Greatest Common Factor of 9/10, 91/78, 75/640, 424/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/10, 91/78, 75/640, 424/688

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 9/10,91/78,75/640,424/688

Given fractions are 9/10,91/78,75/640,424/688

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 9,91,75,424

Greatest Common Factor of Numerators i.e. GCF of 9,91,75,424 is 1 .

LCM of Denominators means LCM of 10,78,640,688 as per the given fractions.

LCM of 10,78,640,688 is 1073280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,91,75,424

GCF of Fractions 9/10,91/78,75/640,424/688 is 1/1073280

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

Greatest Common Factor of 9,91,75,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,91,75,424 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 9,91,75,424 . The biggest common factor number is the GCF number.
So the greatest common factor 9,91,75,424 is 1.

Lets's calculate LCM of 10,78,640,688

2 10, 78, 640, 688
2 5, 39, 320, 344
2 5, 39, 160, 172
2 5, 39, 80, 86
5 5, 39, 40, 43
1, 39, 8, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 39 x 8 x 43 = 1073280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1073280

Therefore, the GCF of Fractions 9/10,91/78,75/640,424/688 is 1/1073280

Least Common Multiple of 10,78,640,688 with GCF Formula

Least Common Multiple of 10,78,640,688 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 10,78,640,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,78,640,688) = 2

common factors(in case of two or more numbers have common factors) = 160

GCF(10,78,640,688) x common factors =2 x 160 = 320

LCM(10,78,640,688) = ( 10 × 78 × 640 × 688 ) / 320

LCM(10,78,640,688) = 343449600 / 320

LCM(10,78,640,688) = 1073280


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 9/10, 91/78, 75/640, 424/688

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 9/10, 91/78, 75/640, 424/688?

Answer: GCF of Numerators as per given numbers 9/10, 91/78, 75/640, 424/688 is

GCF of Numerators i.e. for 9,91,75,424 is 1

LCM of denominators i.e. for 10,78,640,688 is 1073280.

Thus, GCF of Fractions is 1/1073280.Finally, GCF of Fractions for 9/10, 91/78, 75/640, 424/688 is 1/1073280.