Greatest Common Factor of 5486/956, 8382/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5486/956, 8382/916

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 5486/956,8382/916

Given fractions are 5486/956,8382/916

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 5486,8382

Greatest Common Factor of Numerators i.e. GCF of 5486,8382 is 2 .

LCM of Denominators means LCM of 956,916 as per the given fractions.

LCM of 956,916 is 218924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5486,8382

GCF of Fractions 5486/956,8382/916 is 2/218924

2 5486, 8382
2743, 4191

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

Greatest Common Factor of 5486,8382 By Matching Biggest Common Factor Method

Greatest Common Factor of 5486,8382 By Matching Biggest Common Factor Method

Factors of 5486

List of positive integer factors of 5486 that divides 5486 without a remainder.

1,2,13,26,211,422,2743,5486

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382

Greatest Common Factor

We found the factors 5486,8382 . The biggest common factor number is the GCF number.
So the greatest common factor 5486,8382 is 2.

Lets's calculate LCM of 956,916

2 956, 916
2 478, 458
239, 229

∴ So the LCM of the given numbers is 2 x 2 x 239 x 229 = 218924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/218924

Therefore, the GCF of Fractions 5486/956,8382/916 is 2/218924

Least Common Multiple of 956,916 with GCF Formula

Least Common Multiple of 956,916 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 956,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,916) = 4

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

GCF(956,916) x common factors =4 x 1 = 4

LCM(956,916) = ( 956 × 916 ) / 4

LCM(956,916) = 875696 / 4

LCM(956,916) = 218924


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 5486/956, 8382/916

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 5486/956, 8382/916?

Answer: GCF of Numerators as per given numbers 5486/956, 8382/916 is

GCF of Numerators i.e. for 5486,8382 is 2

LCM of denominators i.e. for 956,916 is 218924.

Thus, GCF of Fractions is 2/218924.Finally, GCF of Fractions for 5486/956, 8382/916 is 2/218924.