Greatest Common Factor of 5612/171, 8818/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5612/171, 8818/756

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 5612/171,8818/756

Given fractions are 5612/171,8818/756

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 5612,8818

Greatest Common Factor of Numerators i.e. GCF of 5612,8818 is 2 .

LCM of Denominators means LCM of 171,756 as per the given fractions.

LCM of 171,756 is 14364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5612,8818

GCF of Fractions 5612/171,8818/756 is 2/14364

2 5612, 8818
2806, 4409

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

Greatest Common Factor of 5612,8818 By Matching Biggest Common Factor Method

Greatest Common Factor of 5612,8818 By Matching Biggest Common Factor Method

Factors of 5612

List of positive integer factors of 5612 that divides 5612 without a remainder.

1,2,4,23,46,61,92,122,244,1403,2806,5612

Factors of 8818

List of positive integer factors of 8818 that divides 8818 without a remainder.

1,2,4409,8818

Greatest Common Factor

We found the factors 5612,8818 . The biggest common factor number is the GCF number.
So the greatest common factor 5612,8818 is 2.

Lets's calculate LCM of 171,756

3 171, 756
3 57, 252
19, 84

∴ So the LCM of the given numbers is 3 x 3 x 19 x 84 = 14364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14364

Therefore, the GCF of Fractions 5612/171,8818/756 is 2/14364

Least Common Multiple of 171,756 with GCF Formula

Least Common Multiple of 171,756 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 171,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,756) = 9

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

GCF(171,756) x common factors =9 x 1 = 9

LCM(171,756) = ( 171 × 756 ) / 9

LCM(171,756) = 129276 / 9

LCM(171,756) = 14364


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 5612/171, 8818/756

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 5612/171, 8818/756?

Answer: GCF of Numerators as per given numbers 5612/171, 8818/756 is

GCF of Numerators i.e. for 5612,8818 is 2

LCM of denominators i.e. for 171,756 is 14364.

Thus, GCF of Fractions is 2/14364.Finally, GCF of Fractions for 5612/171, 8818/756 is 2/14364.