Greatest Common Factor of 5635/37, 3626/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5635/37, 3626/907

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 5635/37,3626/907

Given fractions are 5635/37,3626/907

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 5635,3626

Greatest Common Factor of Numerators i.e. GCF of 5635,3626 is 49 .

LCM of Denominators means LCM of 37,907 as per the given fractions.

LCM of 37,907 is 33559 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5635,3626

GCF of Fractions 5635/37,3626/907 is 49/33559

7 5635, 3626
7 805, 518
115, 74

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 5635,3626 By Matching Biggest Common Factor Method

Greatest Common Factor of 5635,3626 By Matching Biggest Common Factor Method

Factors of 5635

List of positive integer factors of 5635 that divides 5635 without a remainder.

1,5,7,23,35,49,115,161,245,805,1127,5635

Factors of 3626

List of positive integer factors of 3626 that divides 3626 without a remainder.

1,2,7,14,37,49,74,98,259,518,1813,3626

Greatest Common Factor

We found the factors 5635,3626 . The biggest common factor number is the GCF number.
So the greatest common factor 5635,3626 is 49.

Lets's calculate LCM of 37,907

Given numbers has no common factors except 1. So, there LCM is their product i.e 33559

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/33559

Therefore, the GCF of Fractions 5635/37,3626/907 is 49/33559

Least Common Multiple of 37,907 with GCF Formula

Least Common Multiple of 37,907 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 37,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,907) = 1

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

GCF(37,907) x common factors =1 x 1 = 1

LCM(37,907) = ( 37 × 907 ) / 1

LCM(37,907) = 33559 / 1

LCM(37,907) = 33559


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 5635/37, 3626/907

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 5635/37, 3626/907?

Answer: GCF of Numerators as per given numbers 5635/37, 3626/907 is

GCF of Numerators i.e. for 5635,3626 is 49

LCM of denominators i.e. for 37,907 is 33559.

Thus, GCF of Fractions is 49/33559.Finally, GCF of Fractions for 5635/37, 3626/907 is 49/33559.