Greatest Common Factor of 3837/13, 2771/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3837/13, 2771/134

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 3837/13,2771/134

Given fractions are 3837/13,2771/134

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 3837,2771

Greatest Common Factor of Numerators i.e. GCF of 3837,2771 is 1 .

LCM of Denominators means LCM of 13,134 as per the given fractions.

LCM of 13,134 is 1742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3837,2771

GCF of Fractions 3837/13,2771/134 is 1/1742

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

Greatest Common Factor of 3837,2771 By Matching Biggest Common Factor Method

Greatest Common Factor of 3837,2771 By Matching Biggest Common Factor Method

Factors of 3837

List of positive integer factors of 3837 that divides 3837 without a remainder.

1,3,1279,3837

Factors of 2771

List of positive integer factors of 2771 that divides 2771 without a remainder.

1,17,163,2771

Greatest Common Factor

We found the factors 3837,2771 . The biggest common factor number is the GCF number.
So the greatest common factor 3837,2771 is 1.

Lets's calculate LCM of 13,134

Given numbers has no common factors except 1. So, there LCM is their product i.e 1742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1742

Therefore, the GCF of Fractions 3837/13,2771/134 is 1/1742

Least Common Multiple of 13,134 with GCF Formula

Least Common Multiple of 13,134 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 13,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,134) = 1

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

GCF(13,134) x common factors =1 x 1 = 1

LCM(13,134) = ( 13 × 134 ) / 1

LCM(13,134) = 1742 / 1

LCM(13,134) = 1742


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 3837/13, 2771/134

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 3837/13, 2771/134?

Answer: GCF of Numerators as per given numbers 3837/13, 2771/134 is

GCF of Numerators i.e. for 3837,2771 is 1

LCM of denominators i.e. for 13,134 is 1742.

Thus, GCF of Fractions is 1/1742.Finally, GCF of Fractions for 3837/13, 2771/134 is 1/1742.