Greatest Common Factor of 9416/678, 4939/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9416/678, 4939/261

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 9416/678,4939/261

Given fractions are 9416/678,4939/261

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 9416,4939

Greatest Common Factor of Numerators i.e. GCF of 9416,4939 is 11 .

LCM of Denominators means LCM of 678,261 as per the given fractions.

LCM of 678,261 is 58986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9416,4939

GCF of Fractions 9416/678,4939/261 is 11/58986

11 9416, 4939
856, 449

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9416,4939 By Matching Biggest Common Factor Method

Greatest Common Factor of 9416,4939 By Matching Biggest Common Factor Method

Factors of 9416

List of positive integer factors of 9416 that divides 9416 without a remainder.

1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416

Factors of 4939

List of positive integer factors of 4939 that divides 4939 without a remainder.

1,11,449,4939

Greatest Common Factor

We found the factors 9416,4939 . The biggest common factor number is the GCF number.
So the greatest common factor 9416,4939 is 11.

Lets's calculate LCM of 678,261

3 678, 261
226, 87

∴ So the LCM of the given numbers is 3 x 226 x 87 = 58986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/58986

Therefore, the GCF of Fractions 9416/678,4939/261 is 11/58986

Least Common Multiple of 678,261 with GCF Formula

Least Common Multiple of 678,261 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 678,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,261) = 3

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

GCF(678,261) x common factors =3 x 1 = 3

LCM(678,261) = ( 678 × 261 ) / 3

LCM(678,261) = 176958 / 3

LCM(678,261) = 58986


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 9416/678, 4939/261

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 9416/678, 4939/261?

Answer: GCF of Numerators as per given numbers 9416/678, 4939/261 is

GCF of Numerators i.e. for 9416,4939 is 11

LCM of denominators i.e. for 678,261 is 58986.

Thus, GCF of Fractions is 11/58986.Finally, GCF of Fractions for 9416/678, 4939/261 is 11/58986.