Greatest Common Factor of 487/496, 157/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/496, 157/868

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 487/496,157/868

Given fractions are 487/496,157/868

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 487,157

Greatest Common Factor of Numerators i.e. GCF of 487,157 is 1 .

LCM of Denominators means LCM of 496,868 as per the given fractions.

LCM of 496,868 is 3472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,157

GCF of Fractions 487/496,157/868 is 1/3472

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

Greatest Common Factor of 487,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,157 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 487,157 . The biggest common factor number is the GCF number.
So the greatest common factor 487,157 is 1.

Lets's calculate LCM of 496,868

2 496, 868
2 248, 434
31 124, 217
4, 7

∴ So the LCM of the given numbers is 2 x 2 x 31 x 4 x 7 = 3472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3472

Therefore, the GCF of Fractions 487/496,157/868 is 1/3472

Least Common Multiple of 496,868 with GCF Formula

Least Common Multiple of 496,868 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 496,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,868) = 124

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

GCF(496,868) x common factors =124 x 1 = 124

LCM(496,868) = ( 496 × 868 ) / 124

LCM(496,868) = 430528 / 124

LCM(496,868) = 3472


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 487/496, 157/868

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 487/496, 157/868?

Answer: GCF of Numerators as per given numbers 487/496, 157/868 is

GCF of Numerators i.e. for 487,157 is 1

LCM of denominators i.e. for 496,868 is 3472.

Thus, GCF of Fractions is 1/3472.Finally, GCF of Fractions for 487/496, 157/868 is 1/3472.