Greatest Common Factor of 9160/70, 6939/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9160/70, 6939/624

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 9160/70,6939/624

Given fractions are 9160/70,6939/624

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 9160,6939

Greatest Common Factor of Numerators i.e. GCF of 9160,6939 is 1 .

LCM of Denominators means LCM of 70,624 as per the given fractions.

LCM of 70,624 is 21840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9160,6939

GCF of Fractions 9160/70,6939/624 is 1/21840

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

Greatest Common Factor of 9160,6939 By Matching Biggest Common Factor Method

Greatest Common Factor of 9160,6939 By Matching Biggest Common Factor Method

Factors of 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160

Factors of 6939

List of positive integer factors of 6939 that divides 6939 without a remainder.

1,3,9,27,257,771,2313,6939

Greatest Common Factor

We found the factors 9160,6939 . The biggest common factor number is the GCF number.
So the greatest common factor 9160,6939 is 1.

Lets's calculate LCM of 70,624

2 70, 624
35, 312

∴ So the LCM of the given numbers is 2 x 35 x 312 = 21840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21840

Therefore, the GCF of Fractions 9160/70,6939/624 is 1/21840

Least Common Multiple of 70,624 with GCF Formula

Least Common Multiple of 70,624 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 70,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,624) = 2

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

GCF(70,624) x common factors =2 x 1 = 2

LCM(70,624) = ( 70 × 624 ) / 2

LCM(70,624) = 43680 / 2

LCM(70,624) = 21840


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 9160/70, 6939/624

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 9160/70, 6939/624?

Answer: GCF of Numerators as per given numbers 9160/70, 6939/624 is

GCF of Numerators i.e. for 9160,6939 is 1

LCM of denominators i.e. for 70,624 is 21840.

Thus, GCF of Fractions is 1/21840.Finally, GCF of Fractions for 9160/70, 6939/624 is 1/21840.