Greatest Common Factor of 6974/254, 2168/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6974/254, 2168/127

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 6974/254,2168/127

Given fractions are 6974/254,2168/127

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 6974,2168

Greatest Common Factor of Numerators i.e. GCF of 6974,2168 is 2 .

LCM of Denominators means LCM of 254,127 as per the given fractions.

LCM of 254,127 is 254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6974,2168

GCF of Fractions 6974/254,2168/127 is 2/254

2 6974, 2168
3487, 1084

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

Greatest Common Factor of 6974,2168 By Matching Biggest Common Factor Method

Greatest Common Factor of 6974,2168 By Matching Biggest Common Factor Method

Factors of 6974

List of positive integer factors of 6974 that divides 6974 without a remainder.

1,2,11,22,317,634,3487,6974

Factors of 2168

List of positive integer factors of 2168 that divides 2168 without a remainder.

1,2,4,8,271,542,1084,2168

Greatest Common Factor

We found the factors 6974,2168 . The biggest common factor number is the GCF number.
So the greatest common factor 6974,2168 is 2.

Lets's calculate LCM of 254,127

127 254, 127
2, 1

∴ So the LCM of the given numbers is 127 x 2 x 1 = 254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/254

Therefore, the GCF of Fractions 6974/254,2168/127 is 2/254

Least Common Multiple of 254,127 with GCF Formula

Least Common Multiple of 254,127 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 254,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,127) = 127

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

GCF(254,127) x common factors =127 x 1 = 127

LCM(254,127) = ( 254 × 127 ) / 127

LCM(254,127) = 32258 / 127

LCM(254,127) = 254


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 6974/254, 2168/127

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 6974/254, 2168/127?

Answer: GCF of Numerators as per given numbers 6974/254, 2168/127 is

GCF of Numerators i.e. for 6974,2168 is 2

LCM of denominators i.e. for 254,127 is 254.

Thus, GCF of Fractions is 2/254.Finally, GCF of Fractions for 6974/254, 2168/127 is 2/254.