Greatest Common Factor of 1502/636, 8276/6686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1502/636, 8276/6686

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 1502/636,8276/6686

Given fractions are 1502/636,8276/6686

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 1502,8276

Greatest Common Factor of Numerators i.e. GCF of 1502,8276 is 2 .

LCM of Denominators means LCM of 636,6686 as per the given fractions.

LCM of 636,6686 is 2126148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1502,8276

GCF of Fractions 1502/636,8276/6686 is 2/2126148

2 1502, 8276
751, 4138

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

Greatest Common Factor of 1502,8276 By Matching Biggest Common Factor Method

Greatest Common Factor of 1502,8276 By Matching Biggest Common Factor Method

Factors of 1502

List of positive integer factors of 1502 that divides 1502 without a remainder.

1,2,751,1502

Factors of 8276

List of positive integer factors of 8276 that divides 8276 without a remainder.

1,2,4,2069,4138,8276

Greatest Common Factor

We found the factors 1502,8276 . The biggest common factor number is the GCF number.
So the greatest common factor 1502,8276 is 2.

Lets's calculate LCM of 636,6686

2 636, 6686
318, 3343

∴ So the LCM of the given numbers is 2 x 318 x 3343 = 2126148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2126148

Therefore, the GCF of Fractions 1502/636,8276/6686 is 2/2126148

Least Common Multiple of 636,6686 with GCF Formula

Least Common Multiple of 636,6686 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 636,6686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,6686) = 2

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

GCF(636,6686) x common factors =2 x 1 = 2

LCM(636,6686) = ( 636 × 6686 ) / 2

LCM(636,6686) = 4252296 / 2

LCM(636,6686) = 2126148


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 1502/636, 8276/6686

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 1502/636, 8276/6686?

Answer: GCF of Numerators as per given numbers 1502/636, 8276/6686 is

GCF of Numerators i.e. for 1502,8276 is 2

LCM of denominators i.e. for 636,6686 is 2126148.

Thus, GCF of Fractions is 2/2126148.Finally, GCF of Fractions for 1502/636, 8276/6686 is 2/2126148.