Greatest Common Factor of 8510/702, 5286/6498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8510/702, 5286/6498

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 8510/702,5286/6498

Given fractions are 8510/702,5286/6498

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 8510,5286

Greatest Common Factor of Numerators i.e. GCF of 8510,5286 is 2 .

LCM of Denominators means LCM of 702,6498 as per the given fractions.

LCM of 702,6498 is 253422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8510,5286

GCF of Fractions 8510/702,5286/6498 is 2/253422

2 8510, 5286
4255, 2643

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

Greatest Common Factor of 8510,5286 By Matching Biggest Common Factor Method

Greatest Common Factor of 8510,5286 By Matching Biggest Common Factor Method

Factors of 8510

List of positive integer factors of 8510 that divides 8510 without a remainder.

1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510

Factors of 5286

List of positive integer factors of 5286 that divides 5286 without a remainder.

1,2,3,6,881,1762,2643,5286

Greatest Common Factor

We found the factors 8510,5286 . The biggest common factor number is the GCF number.
So the greatest common factor 8510,5286 is 2.

Lets's calculate LCM of 702,6498

2 702, 6498
3 351, 3249
3 117, 1083
39, 361

∴ So the LCM of the given numbers is 2 x 3 x 3 x 39 x 361 = 253422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/253422

Therefore, the GCF of Fractions 8510/702,5286/6498 is 2/253422

Least Common Multiple of 702,6498 with GCF Formula

Least Common Multiple of 702,6498 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 702,6498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,6498) = 18

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

GCF(702,6498) x common factors =18 x 1 = 18

LCM(702,6498) = ( 702 × 6498 ) / 18

LCM(702,6498) = 4561596 / 18

LCM(702,6498) = 253422


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 8510/702, 5286/6498

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 8510/702, 5286/6498?

Answer: GCF of Numerators as per given numbers 8510/702, 5286/6498 is

GCF of Numerators i.e. for 8510,5286 is 2

LCM of denominators i.e. for 702,6498 is 253422.

Thus, GCF of Fractions is 2/253422.Finally, GCF of Fractions for 8510/702, 5286/6498 is 2/253422.