Greatest Common Factor of 8508/871, 1562/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8508/871, 1562/364

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 8508/871,1562/364

Given fractions are 8508/871,1562/364

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 8508,1562

Greatest Common Factor of Numerators i.e. GCF of 8508,1562 is 2 .

LCM of Denominators means LCM of 871,364 as per the given fractions.

LCM of 871,364 is 24388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8508,1562

GCF of Fractions 8508/871,1562/364 is 2/24388

2 8508, 1562
4254, 781

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

Greatest Common Factor of 8508,1562 By Matching Biggest Common Factor Method

Greatest Common Factor of 8508,1562 By Matching Biggest Common Factor Method

Factors of 8508

List of positive integer factors of 8508 that divides 8508 without a remainder.

1,2,3,4,6,12,709,1418,2127,2836,4254,8508

Factors of 1562

List of positive integer factors of 1562 that divides 1562 without a remainder.

1,2,11,22,71,142,781,1562

Greatest Common Factor

We found the factors 8508,1562 . The biggest common factor number is the GCF number.
So the greatest common factor 8508,1562 is 2.

Lets's calculate LCM of 871,364

13 871, 364
67, 28

∴ So the LCM of the given numbers is 13 x 67 x 28 = 24388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24388

Therefore, the GCF of Fractions 8508/871,1562/364 is 2/24388

Least Common Multiple of 871,364 with GCF Formula

Least Common Multiple of 871,364 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 871,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,364) = 13

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

GCF(871,364) x common factors =13 x 1 = 13

LCM(871,364) = ( 871 × 364 ) / 13

LCM(871,364) = 317044 / 13

LCM(871,364) = 24388


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 8508/871, 1562/364

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 8508/871, 1562/364?

Answer: GCF of Numerators as per given numbers 8508/871, 1562/364 is

GCF of Numerators i.e. for 8508,1562 is 2

LCM of denominators i.e. for 871,364 is 24388.

Thus, GCF of Fractions is 2/24388.Finally, GCF of Fractions for 8508/871, 1562/364 is 2/24388.