Greatest Common Factor of 2112/635, 3737/2107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2112/635, 3737/2107

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 2112/635,3737/2107

Given fractions are 2112/635,3737/2107

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 2112,3737

Greatest Common Factor of Numerators i.e. GCF of 2112,3737 is 1 .

LCM of Denominators means LCM of 635,2107 as per the given fractions.

LCM of 635,2107 is 1337945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2112,3737

GCF of Fractions 2112/635,3737/2107 is 1/1337945

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2112,3737 By Matching Biggest Common Factor Method

Greatest Common Factor of 2112,3737 By Matching Biggest Common Factor Method

Factors of 2112

List of positive integer factors of 2112 that divides 2112 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112

Factors of 3737

List of positive integer factors of 3737 that divides 3737 without a remainder.

1,37,101,3737

Greatest Common Factor

We found the factors 2112,3737 . The biggest common factor number is the GCF number.
So the greatest common factor 2112,3737 is 1.

Lets's calculate LCM of 635,2107

Given numbers has no common factors except 1. So, there LCM is their product i.e 1337945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1337945

Therefore, the GCF of Fractions 2112/635,3737/2107 is 1/1337945

Least Common Multiple of 635,2107 with GCF Formula

Least Common Multiple of 635,2107 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 635,2107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,2107) = 1

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

GCF(635,2107) x common factors =1 x 1 = 1

LCM(635,2107) = ( 635 × 2107 ) / 1

LCM(635,2107) = 1337945 / 1

LCM(635,2107) = 1337945


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 2112/635, 3737/2107

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 2112/635, 3737/2107?

Answer: GCF of Numerators as per given numbers 2112/635, 3737/2107 is

GCF of Numerators i.e. for 2112,3737 is 1

LCM of denominators i.e. for 635,2107 is 1337945.

Thus, GCF of Fractions is 1/1337945.Finally, GCF of Fractions for 2112/635, 3737/2107 is 1/1337945.