Greatest Common Factor of 2626/636, 1312/3421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2626/636, 1312/3421

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 2626/636,1312/3421

Given fractions are 2626/636,1312/3421

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 2626,1312

Greatest Common Factor of Numerators i.e. GCF of 2626,1312 is 2 .

LCM of Denominators means LCM of 636,3421 as per the given fractions.

LCM of 636,3421 is 2175756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2626,1312

GCF of Fractions 2626/636,1312/3421 is 2/2175756

2 2626, 1312
1313, 656

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

Greatest Common Factor of 2626,1312 By Matching Biggest Common Factor Method

Greatest Common Factor of 2626,1312 By Matching Biggest Common Factor Method

Factors of 2626

List of positive integer factors of 2626 that divides 2626 without a remainder.

1,2,13,26,101,202,1313,2626

Factors of 1312

List of positive integer factors of 1312 that divides 1312 without a remainder.

1,2,4,8,16,32,41,82,164,328,656,1312

Greatest Common Factor

We found the factors 2626,1312 . The biggest common factor number is the GCF number.
So the greatest common factor 2626,1312 is 2.

Lets's calculate LCM of 636,3421

Given numbers has no common factors except 1. So, there LCM is their product i.e 2175756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2175756

Therefore, the GCF of Fractions 2626/636,1312/3421 is 2/2175756

Least Common Multiple of 636,3421 with GCF Formula

Least Common Multiple of 636,3421 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 636,3421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,3421) = 1

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

GCF(636,3421) x common factors =1 x 1 = 1

LCM(636,3421) = ( 636 × 3421 ) / 1

LCM(636,3421) = 2175756 / 1

LCM(636,3421) = 2175756


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 2626/636, 1312/3421

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 2626/636, 1312/3421?

Answer: GCF of Numerators as per given numbers 2626/636, 1312/3421 is

GCF of Numerators i.e. for 2626,1312 is 2

LCM of denominators i.e. for 636,3421 is 2175756.

Thus, GCF of Fractions is 2/2175756.Finally, GCF of Fractions for 2626/636, 1312/3421 is 2/2175756.