Greatest Common Factor of 7992/968, 7258/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7992/968, 7258/764

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 7992/968,7258/764

Given fractions are 7992/968,7258/764

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 7992,7258

Greatest Common Factor of Numerators i.e. GCF of 7992,7258 is 2 .

LCM of Denominators means LCM of 968,764 as per the given fractions.

LCM of 968,764 is 184888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7992,7258

GCF of Fractions 7992/968,7258/764 is 2/184888

2 7992, 7258
3996, 3629

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

Greatest Common Factor of 7992,7258 By Matching Biggest Common Factor Method

Greatest Common Factor of 7992,7258 By Matching Biggest Common Factor Method

Factors of 7992

List of positive integer factors of 7992 that divides 7992 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,37,54,72,74,108,111,148,216,222,296,333,444,666,888,999,1332,1998,2664,3996,7992

Factors of 7258

List of positive integer factors of 7258 that divides 7258 without a remainder.

1,2,19,38,191,382,3629,7258

Greatest Common Factor

We found the factors 7992,7258 . The biggest common factor number is the GCF number.
So the greatest common factor 7992,7258 is 2.

Lets's calculate LCM of 968,764

2 968, 764
2 484, 382
242, 191

∴ So the LCM of the given numbers is 2 x 2 x 242 x 191 = 184888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/184888

Therefore, the GCF of Fractions 7992/968,7258/764 is 2/184888

Least Common Multiple of 968,764 with GCF Formula

Least Common Multiple of 968,764 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 968,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,764) = 4

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

GCF(968,764) x common factors =4 x 1 = 4

LCM(968,764) = ( 968 × 764 ) / 4

LCM(968,764) = 739552 / 4

LCM(968,764) = 184888


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 7992/968, 7258/764

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 7992/968, 7258/764?

Answer: GCF of Numerators as per given numbers 7992/968, 7258/764 is

GCF of Numerators i.e. for 7992,7258 is 2

LCM of denominators i.e. for 968,764 is 184888.

Thus, GCF of Fractions is 2/184888.Finally, GCF of Fractions for 7992/968, 7258/764 is 2/184888.