Greatest Common Factor of 3011/37, 8077/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3011/37, 8077/940

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 3011/37,8077/940

Given fractions are 3011/37,8077/940

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 3011,8077

Greatest Common Factor of Numerators i.e. GCF of 3011,8077 is 1 .

LCM of Denominators means LCM of 37,940 as per the given fractions.

LCM of 37,940 is 34780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3011,8077

GCF of Fractions 3011/37,8077/940 is 1/34780

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

Greatest Common Factor of 3011,8077 By Matching Biggest Common Factor Method

Greatest Common Factor of 3011,8077 By Matching Biggest Common Factor Method

Factors of 3011

List of positive integer factors of 3011 that divides 3011 without a remainder.

1,3011

Factors of 8077

List of positive integer factors of 8077 that divides 8077 without a remainder.

1,41,197,8077

Greatest Common Factor

We found the factors 3011,8077 . The biggest common factor number is the GCF number.
So the greatest common factor 3011,8077 is 1.

Lets's calculate LCM of 37,940

Given numbers has no common factors except 1. So, there LCM is their product i.e 34780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34780

Therefore, the GCF of Fractions 3011/37,8077/940 is 1/34780

Least Common Multiple of 37,940 with GCF Formula

Least Common Multiple of 37,940 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 37,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,940) = 1

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

GCF(37,940) x common factors =1 x 1 = 1

LCM(37,940) = ( 37 × 940 ) / 1

LCM(37,940) = 34780 / 1

LCM(37,940) = 34780


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 3011/37, 8077/940

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 3011/37, 8077/940?

Answer: GCF of Numerators as per given numbers 3011/37, 8077/940 is

GCF of Numerators i.e. for 3011,8077 is 1

LCM of denominators i.e. for 37,940 is 34780.

Thus, GCF of Fractions is 1/34780.Finally, GCF of Fractions for 3011/37, 8077/940 is 1/34780.