Greatest Common Factor of 581/937, 987/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 581/937, 987/508

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 581/937,987/508

Given fractions are 581/937,987/508

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 581,987

Greatest Common Factor of Numerators i.e. GCF of 581,987 is 7 .

LCM of Denominators means LCM of 937,508 as per the given fractions.

LCM of 937,508 is 475996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 581,987

GCF of Fractions 581/937,987/508 is 7/475996

7 581, 987
83, 141

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 581,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,987 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 987

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

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

Greatest Common Factor

We found the factors 581,987 . The biggest common factor number is the GCF number.
So the greatest common factor 581,987 is 7.

Lets's calculate LCM of 937,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 475996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/475996

Therefore, the GCF of Fractions 581/937,987/508 is 7/475996

Least Common Multiple of 937,508 with GCF Formula

Least Common Multiple of 937,508 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 937,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,508) = 1

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

GCF(937,508) x common factors =1 x 1 = 1

LCM(937,508) = ( 937 × 508 ) / 1

LCM(937,508) = 475996 / 1

LCM(937,508) = 475996


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 581/937, 987/508

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 581/937, 987/508?

Answer: GCF of Numerators as per given numbers 581/937, 987/508 is

GCF of Numerators i.e. for 581,987 is 7

LCM of denominators i.e. for 937,508 is 475996.

Thus, GCF of Fractions is 7/475996.Finally, GCF of Fractions for 581/937, 987/508 is 7/475996.