Greatest Common Factor of 3512/13, 2990/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3512/13, 2990/842

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 3512/13,2990/842

Given fractions are 3512/13,2990/842

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 3512,2990

Greatest Common Factor of Numerators i.e. GCF of 3512,2990 is 2 .

LCM of Denominators means LCM of 13,842 as per the given fractions.

LCM of 13,842 is 10946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3512,2990

GCF of Fractions 3512/13,2990/842 is 2/10946

2 3512, 2990
1756, 1495

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

Greatest Common Factor of 3512,2990 By Matching Biggest Common Factor Method

Greatest Common Factor of 3512,2990 By Matching Biggest Common Factor Method

Factors of 3512

List of positive integer factors of 3512 that divides 3512 without a remainder.

1,2,4,8,439,878,1756,3512

Factors of 2990

List of positive integer factors of 2990 that divides 2990 without a remainder.

1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990

Greatest Common Factor

We found the factors 3512,2990 . The biggest common factor number is the GCF number.
So the greatest common factor 3512,2990 is 2.

Lets's calculate LCM of 13,842

Given numbers has no common factors except 1. So, there LCM is their product i.e 10946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10946

Therefore, the GCF of Fractions 3512/13,2990/842 is 2/10946

Least Common Multiple of 13,842 with GCF Formula

Least Common Multiple of 13,842 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 13,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,842) = 1

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

GCF(13,842) x common factors =1 x 1 = 1

LCM(13,842) = ( 13 × 842 ) / 1

LCM(13,842) = 10946 / 1

LCM(13,842) = 10946


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 3512/13, 2990/842

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 3512/13, 2990/842?

Answer: GCF of Numerators as per given numbers 3512/13, 2990/842 is

GCF of Numerators i.e. for 3512,2990 is 2

LCM of denominators i.e. for 13,842 is 10946.

Thus, GCF of Fractions is 2/10946.Finally, GCF of Fractions for 3512/13, 2990/842 is 2/10946.