Greatest Common Factor of 940/71, 7412/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 940/71, 7412/666

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 940/71,7412/666

Given fractions are 940/71,7412/666

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 940,7412

Greatest Common Factor of Numerators i.e. GCF of 940,7412 is 4 .

LCM of Denominators means LCM of 71,666 as per the given fractions.

LCM of 71,666 is 47286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 940,7412

GCF of Fractions 940/71,7412/666 is 4/47286

2 940, 7412
2 470, 3706
235, 1853

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

Greatest Common Factor of 940,7412 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,7412 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 7412

List of positive integer factors of 7412 that divides 7412 without a remainder.

1,2,4,17,34,68,109,218,436,1853,3706,7412

Greatest Common Factor

We found the factors 940,7412 . The biggest common factor number is the GCF number.
So the greatest common factor 940,7412 is 4.

Lets's calculate LCM of 71,666

Given numbers has no common factors except 1. So, there LCM is their product i.e 47286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/47286

Therefore, the GCF of Fractions 940/71,7412/666 is 4/47286

Least Common Multiple of 71,666 with GCF Formula

Least Common Multiple of 71,666 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 71,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,666) = 1

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

GCF(71,666) x common factors =1 x 1 = 1

LCM(71,666) = ( 71 × 666 ) / 1

LCM(71,666) = 47286 / 1

LCM(71,666) = 47286


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 940/71, 7412/666

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 940/71, 7412/666?

Answer: GCF of Numerators as per given numbers 940/71, 7412/666 is

GCF of Numerators i.e. for 940,7412 is 4

LCM of denominators i.e. for 71,666 is 47286.

Thus, GCF of Fractions is 4/47286.Finally, GCF of Fractions for 940/71, 7412/666 is 4/47286.