Greatest Common Factor of 47/780, 911/399, 142/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/780, 911/399, 142/131

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 47/780,911/399,142/131

Given fractions are 47/780,911/399,142/131

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 47,911,142

Greatest Common Factor of Numerators i.e. GCF of 47,911,142 is 1 .

LCM of Denominators means LCM of 780,399,131 as per the given fractions.

LCM of 780,399,131 is 13589940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,911,142

GCF of Fractions 47/780,911/399,142/131 is 1/13589940

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

Greatest Common Factor of 47,911,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,911,142 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 47,911,142 . The biggest common factor number is the GCF number.
So the greatest common factor 47,911,142 is 1.

Lets's calculate LCM of 780,399,131

3 780, 399, 131
260, 133, 131

∴ So the LCM of the given numbers is 3 x 260 x 133 x 131 = 13589940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13589940

Therefore, the GCF of Fractions 47/780,911/399,142/131 is 1/13589940

Least Common Multiple of 780,399,131 with GCF Formula

Least Common Multiple of 780,399,131 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 780,399,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,399,131) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(780,399,131) x common factors =1 x 3 = 3

LCM(780,399,131) = ( 780 × 399 × 131 ) / 3

LCM(780,399,131) = 40769820 / 3

LCM(780,399,131) = 13589940


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 47/780, 911/399, 142/131

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 47/780, 911/399, 142/131?

Answer: GCF of Numerators as per given numbers 47/780, 911/399, 142/131 is

GCF of Numerators i.e. for 47,911,142 is 1

LCM of denominators i.e. for 780,399,131 is 13589940.

Thus, GCF of Fractions is 1/13589940.Finally, GCF of Fractions for 47/780, 911/399, 142/131 is 1/13589940.