Greatest Common Factor of 7916/722, 6260/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7916/722, 6260/178

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 7916/722,6260/178

Given fractions are 7916/722,6260/178

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 7916,6260

Greatest Common Factor of Numerators i.e. GCF of 7916,6260 is 4 .

LCM of Denominators means LCM of 722,178 as per the given fractions.

LCM of 722,178 is 64258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7916,6260

GCF of Fractions 7916/722,6260/178 is 4/64258

2 7916, 6260
2 3958, 3130
1979, 1565

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7916,6260 By Matching Biggest Common Factor Method

Greatest Common Factor of 7916,6260 By Matching Biggest Common Factor Method

Factors of 7916

List of positive integer factors of 7916 that divides 7916 without a remainder.

1,2,4,1979,3958,7916

Factors of 6260

List of positive integer factors of 6260 that divides 6260 without a remainder.

1,2,4,5,10,20,313,626,1252,1565,3130,6260

Greatest Common Factor

We found the factors 7916,6260 . The biggest common factor number is the GCF number.
So the greatest common factor 7916,6260 is 4.

Lets's calculate LCM of 722,178

2 722, 178
361, 89

∴ So the LCM of the given numbers is 2 x 361 x 89 = 64258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/64258

Therefore, the GCF of Fractions 7916/722,6260/178 is 4/64258

Least Common Multiple of 722,178 with GCF Formula

Least Common Multiple of 722,178 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 722,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,178) = 2

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

GCF(722,178) x common factors =2 x 1 = 2

LCM(722,178) = ( 722 × 178 ) / 2

LCM(722,178) = 128516 / 2

LCM(722,178) = 64258


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 7916/722, 6260/178

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 7916/722, 6260/178?

Answer: GCF of Numerators as per given numbers 7916/722, 6260/178 is

GCF of Numerators i.e. for 7916,6260 is 4

LCM of denominators i.e. for 722,178 is 64258.

Thus, GCF of Fractions is 4/64258.Finally, GCF of Fractions for 7916/722, 6260/178 is 4/64258.