Greatest Common Factor of 2100/12, 7612/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2100/12, 7612/105

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 2100/12,7612/105

Given fractions are 2100/12,7612/105

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 2100,7612

Greatest Common Factor of Numerators i.e. GCF of 2100,7612 is 4 .

LCM of Denominators means LCM of 12,105 as per the given fractions.

LCM of 12,105 is 420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2100,7612

GCF of Fractions 2100/12,7612/105 is 4/420

2 2100, 7612
2 1050, 3806
525, 1903

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2100,7612 By Matching Biggest Common Factor Method

Greatest Common Factor of 2100,7612 By Matching Biggest Common Factor Method

Factors of 2100

List of positive integer factors of 2100 that divides 2100 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100

Factors of 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1,2,4,11,22,44,173,346,692,1903,3806,7612

Greatest Common Factor

We found the factors 2100,7612 . The biggest common factor number is the GCF number.
So the greatest common factor 2100,7612 is 4.

Lets's calculate LCM of 12,105

3 12, 105
4, 35

∴ So the LCM of the given numbers is 3 x 4 x 35 = 420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/420

Therefore, the GCF of Fractions 2100/12,7612/105 is 4/420

Least Common Multiple of 12,105 with GCF Formula

Least Common Multiple of 12,105 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 12,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,105) = 3

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

GCF(12,105) x common factors =3 x 1 = 3

LCM(12,105) = ( 12 × 105 ) / 3

LCM(12,105) = 1260 / 3

LCM(12,105) = 420


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 2100/12, 7612/105

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 2100/12, 7612/105?

Answer: GCF of Numerators as per given numbers 2100/12, 7612/105 is

GCF of Numerators i.e. for 2100,7612 is 4

LCM of denominators i.e. for 12,105 is 420.

Thus, GCF of Fractions is 4/420.Finally, GCF of Fractions for 2100/12, 7612/105 is 4/420.