Greatest Common Factor of 2008/778, 6991/7748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2008/778, 6991/7748

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 2008/778,6991/7748

Given fractions are 2008/778,6991/7748

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 2008,6991

Greatest Common Factor of Numerators i.e. GCF of 2008,6991 is 1 .

LCM of Denominators means LCM of 778,7748 as per the given fractions.

LCM of 778,7748 is 3013972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2008,6991

GCF of Fractions 2008/778,6991/7748 is 1/3013972

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

Greatest Common Factor of 2008,6991 By Matching Biggest Common Factor Method

Greatest Common Factor of 2008,6991 By Matching Biggest Common Factor Method

Factors of 2008

List of positive integer factors of 2008 that divides 2008 without a remainder.

1,2,4,8,251,502,1004,2008

Factors of 6991

List of positive integer factors of 6991 that divides 6991 without a remainder.

1,6991

Greatest Common Factor

We found the factors 2008,6991 . The biggest common factor number is the GCF number.
So the greatest common factor 2008,6991 is 1.

Lets's calculate LCM of 778,7748

2 778, 7748
389, 3874

∴ So the LCM of the given numbers is 2 x 389 x 3874 = 3013972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3013972

Therefore, the GCF of Fractions 2008/778,6991/7748 is 1/3013972

Least Common Multiple of 778,7748 with GCF Formula

Least Common Multiple of 778,7748 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 778,7748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,7748) = 2

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

GCF(778,7748) x common factors =2 x 1 = 2

LCM(778,7748) = ( 778 × 7748 ) / 2

LCM(778,7748) = 6027944 / 2

LCM(778,7748) = 3013972


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 2008/778, 6991/7748

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 2008/778, 6991/7748?

Answer: GCF of Numerators as per given numbers 2008/778, 6991/7748 is

GCF of Numerators i.e. for 2008,6991 is 1

LCM of denominators i.e. for 778,7748 is 3013972.

Thus, GCF of Fractions is 1/3013972.Finally, GCF of Fractions for 2008/778, 6991/7748 is 1/3013972.