Greatest Common Factor of 6988/35, 7974/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6988/35, 7974/905

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 6988/35,7974/905

Given fractions are 6988/35,7974/905

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 6988,7974

Greatest Common Factor of Numerators i.e. GCF of 6988,7974 is 2 .

LCM of Denominators means LCM of 35,905 as per the given fractions.

LCM of 35,905 is 6335 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6988,7974

GCF of Fractions 6988/35,7974/905 is 2/6335

2 6988, 7974
3494, 3987

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

Greatest Common Factor of 6988,7974 By Matching Biggest Common Factor Method

Greatest Common Factor of 6988,7974 By Matching Biggest Common Factor Method

Factors of 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1,2,4,1747,3494,6988

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors 6988,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 6988,7974 is 2.

Lets's calculate LCM of 35,905

5 35, 905
7, 181

∴ So the LCM of the given numbers is 5 x 7 x 181 = 6335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6335

Therefore, the GCF of Fractions 6988/35,7974/905 is 2/6335

Least Common Multiple of 35,905 with GCF Formula

Least Common Multiple of 35,905 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 35,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,905) = 5

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

GCF(35,905) x common factors =5 x 1 = 5

LCM(35,905) = ( 35 × 905 ) / 5

LCM(35,905) = 31675 / 5

LCM(35,905) = 6335


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 6988/35, 7974/905

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 6988/35, 7974/905?

Answer: GCF of Numerators as per given numbers 6988/35, 7974/905 is

GCF of Numerators i.e. for 6988,7974 is 2

LCM of denominators i.e. for 35,905 is 6335.

Thus, GCF of Fractions is 2/6335.Finally, GCF of Fractions for 6988/35, 7974/905 is 2/6335.