Greatest Common Factor of 7960/916, 6290/7163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7960/916, 6290/7163

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 7960/916,6290/7163

Given fractions are 7960/916,6290/7163

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 7960,6290

Greatest Common Factor of Numerators i.e. GCF of 7960,6290 is 10 .

LCM of Denominators means LCM of 916,7163 as per the given fractions.

LCM of 916,7163 is 6561308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7960,6290

GCF of Fractions 7960/916,6290/7163 is 10/6561308

2 7960, 6290
5 3980, 3145
796, 629

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

Greatest Common Factor of 7960,6290 By Matching Biggest Common Factor Method

Greatest Common Factor of 7960,6290 By Matching Biggest Common Factor Method

Factors of 7960

List of positive integer factors of 7960 that divides 7960 without a remainder.

1,2,4,5,8,10,20,40,199,398,796,995,1592,1990,3980,7960

Factors of 6290

List of positive integer factors of 6290 that divides 6290 without a remainder.

1,2,5,10,17,34,37,74,85,170,185,370,629,1258,3145,6290

Greatest Common Factor

We found the factors 7960,6290 . The biggest common factor number is the GCF number.
So the greatest common factor 7960,6290 is 10.

Lets's calculate LCM of 916,7163

Given numbers has no common factors except 1. So, there LCM is their product i.e 6561308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6561308

Therefore, the GCF of Fractions 7960/916,6290/7163 is 10/6561308

Least Common Multiple of 916,7163 with GCF Formula

Least Common Multiple of 916,7163 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 916,7163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,7163) = 1

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

GCF(916,7163) x common factors =1 x 1 = 1

LCM(916,7163) = ( 916 × 7163 ) / 1

LCM(916,7163) = 6561308 / 1

LCM(916,7163) = 6561308


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 7960/916, 6290/7163

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 7960/916, 6290/7163?

Answer: GCF of Numerators as per given numbers 7960/916, 6290/7163 is

GCF of Numerators i.e. for 7960,6290 is 10

LCM of denominators i.e. for 916,7163 is 6561308.

Thus, GCF of Fractions is 10/6561308.Finally, GCF of Fractions for 7960/916, 6290/7163 is 10/6561308.