Greatest Common Factor of 916/418, 3614/2754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 916/418, 3614/2754

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 916/418,3614/2754

Given fractions are 916/418,3614/2754

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 916,3614

Greatest Common Factor of Numerators i.e. GCF of 916,3614 is 2 .

LCM of Denominators means LCM of 418,2754 as per the given fractions.

LCM of 418,2754 is 575586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 916,3614

GCF of Fractions 916/418,3614/2754 is 2/575586

2 916, 3614
458, 1807

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

Greatest Common Factor of 916,3614 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,3614 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1,2,13,26,139,278,1807,3614

Greatest Common Factor

We found the factors 916,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 916,3614 is 2.

Lets's calculate LCM of 418,2754

2 418, 2754
209, 1377

∴ So the LCM of the given numbers is 2 x 209 x 1377 = 575586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/575586

Therefore, the GCF of Fractions 916/418,3614/2754 is 2/575586

Least Common Multiple of 418,2754 with GCF Formula

Least Common Multiple of 418,2754 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 418,2754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,2754) = 2

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

GCF(418,2754) x common factors =2 x 1 = 2

LCM(418,2754) = ( 418 × 2754 ) / 2

LCM(418,2754) = 1151172 / 2

LCM(418,2754) = 575586


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 916/418, 3614/2754

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 916/418, 3614/2754?

Answer: GCF of Numerators as per given numbers 916/418, 3614/2754 is

GCF of Numerators i.e. for 916,3614 is 2

LCM of denominators i.e. for 418,2754 is 575586.

Thus, GCF of Fractions is 2/575586.Finally, GCF of Fractions for 916/418, 3614/2754 is 2/575586.