Greatest Common Factor of 8618/254, 7948/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8618/254, 7948/251

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 8618/254,7948/251

Given fractions are 8618/254,7948/251

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 8618,7948

Greatest Common Factor of Numerators i.e. GCF of 8618,7948 is 2 .

LCM of Denominators means LCM of 254,251 as per the given fractions.

LCM of 254,251 is 63754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8618,7948

GCF of Fractions 8618/254,7948/251 is 2/63754

2 8618, 7948
4309, 3974

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

Greatest Common Factor of 8618,7948 By Matching Biggest Common Factor Method

Greatest Common Factor of 8618,7948 By Matching Biggest Common Factor Method

Factors of 8618

List of positive integer factors of 8618 that divides 8618 without a remainder.

1,2,31,62,139,278,4309,8618

Factors of 7948

List of positive integer factors of 7948 that divides 7948 without a remainder.

1,2,4,1987,3974,7948

Greatest Common Factor

We found the factors 8618,7948 . The biggest common factor number is the GCF number.
So the greatest common factor 8618,7948 is 2.

Lets's calculate LCM of 254,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 63754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63754

Therefore, the GCF of Fractions 8618/254,7948/251 is 2/63754

Least Common Multiple of 254,251 with GCF Formula

Least Common Multiple of 254,251 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 254,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,251) = 1

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

GCF(254,251) x common factors =1 x 1 = 1

LCM(254,251) = ( 254 × 251 ) / 1

LCM(254,251) = 63754 / 1

LCM(254,251) = 63754


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 8618/254, 7948/251

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 8618/254, 7948/251?

Answer: GCF of Numerators as per given numbers 8618/254, 7948/251 is

GCF of Numerators i.e. for 8618,7948 is 2

LCM of denominators i.e. for 254,251 is 63754.

Thus, GCF of Fractions is 2/63754.Finally, GCF of Fractions for 8618/254, 7948/251 is 2/63754.