Greatest Common Factor of 7968/779, 4963/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7968/779, 4963/748

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 7968/779,4963/748

Given fractions are 7968/779,4963/748

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 7968,4963

Greatest Common Factor of Numerators i.e. GCF of 7968,4963 is 1 .

LCM of Denominators means LCM of 779,748 as per the given fractions.

LCM of 779,748 is 582692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7968,4963

GCF of Fractions 7968/779,4963/748 is 1/582692

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

Greatest Common Factor of 7968,4963 By Matching Biggest Common Factor Method

Greatest Common Factor of 7968,4963 By Matching Biggest Common Factor Method

Factors of 7968

List of positive integer factors of 7968 that divides 7968 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968

Factors of 4963

List of positive integer factors of 4963 that divides 4963 without a remainder.

1,7,709,4963

Greatest Common Factor

We found the factors 7968,4963 . The biggest common factor number is the GCF number.
So the greatest common factor 7968,4963 is 1.

Lets's calculate LCM of 779,748

Given numbers has no common factors except 1. So, there LCM is their product i.e 582692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582692

Therefore, the GCF of Fractions 7968/779,4963/748 is 1/582692

Least Common Multiple of 779,748 with GCF Formula

Least Common Multiple of 779,748 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 779,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,748) = 1

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

GCF(779,748) x common factors =1 x 1 = 1

LCM(779,748) = ( 779 × 748 ) / 1

LCM(779,748) = 582692 / 1

LCM(779,748) = 582692


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 7968/779, 4963/748

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 7968/779, 4963/748?

Answer: GCF of Numerators as per given numbers 7968/779, 4963/748 is

GCF of Numerators i.e. for 7968,4963 is 1

LCM of denominators i.e. for 779,748 is 582692.

Thus, GCF of Fractions is 1/582692.Finally, GCF of Fractions for 7968/779, 4963/748 is 1/582692.