Greatest Common Factor of 47/896, 987/539, 710/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/896, 987/539, 710/413

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 47/896,987/539,710/413

Given fractions are 47/896,987/539,710/413

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 47,987,710

Greatest Common Factor of Numerators i.e. GCF of 47,987,710 is 1 .

LCM of Denominators means LCM of 896,539,413 as per the given fractions.

LCM of 896,539,413 is 4070528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,987,710

GCF of Fractions 47/896,987/539,710/413 is 1/4070528

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

Greatest Common Factor of 47,987,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,987,710 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 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 47,987,710 . The biggest common factor number is the GCF number.
So the greatest common factor 47,987,710 is 1.

Lets's calculate LCM of 896,539,413

7 896, 539, 413
128, 77, 59

∴ So the LCM of the given numbers is 7 x 128 x 77 x 59 = 4070528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4070528

Therefore, the GCF of Fractions 47/896,987/539,710/413 is 1/4070528

Least Common Multiple of 896,539,413 with GCF Formula

Least Common Multiple of 896,539,413 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 896,539,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,539,413) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(896,539,413) x common factors =7 x 7 = 49

LCM(896,539,413) = ( 896 × 539 × 413 ) / 49

LCM(896,539,413) = 199455872 / 49

LCM(896,539,413) = 4070528


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 47/896, 987/539, 710/413

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 47/896, 987/539, 710/413?

Answer: GCF of Numerators as per given numbers 47/896, 987/539, 710/413 is

GCF of Numerators i.e. for 47,987,710 is 1

LCM of denominators i.e. for 896,539,413 is 4070528.

Thus, GCF of Fractions is 1/4070528.Finally, GCF of Fractions for 47/896, 987/539, 710/413 is 1/4070528.