Greatest Common Factor of 875/94, 6587/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 875/94, 6587/987

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 875/94,6587/987

Given fractions are 875/94,6587/987

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 875,6587

Greatest Common Factor of Numerators i.e. GCF of 875,6587 is 7 .

LCM of Denominators means LCM of 94,987 as per the given fractions.

LCM of 94,987 is 1974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 875,6587

GCF of Fractions 875/94,6587/987 is 7/1974

7 875, 6587
125, 941

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

Greatest Common Factor of 875,6587 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,6587 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 6587

List of positive integer factors of 6587 that divides 6587 without a remainder.

1,7,941,6587

Greatest Common Factor

We found the factors 875,6587 . The biggest common factor number is the GCF number.
So the greatest common factor 875,6587 is 7.

Lets's calculate LCM of 94,987

47 94, 987
2, 21

∴ So the LCM of the given numbers is 47 x 2 x 21 = 1974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1974

Therefore, the GCF of Fractions 875/94,6587/987 is 7/1974

Least Common Multiple of 94,987 with GCF Formula

Least Common Multiple of 94,987 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 94,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,987) = 47

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

GCF(94,987) x common factors =47 x 1 = 47

LCM(94,987) = ( 94 × 987 ) / 47

LCM(94,987) = 92778 / 47

LCM(94,987) = 1974


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 875/94, 6587/987

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 875/94, 6587/987?

Answer: GCF of Numerators as per given numbers 875/94, 6587/987 is

GCF of Numerators i.e. for 875,6587 is 7

LCM of denominators i.e. for 94,987 is 1974.

Thus, GCF of Fractions is 7/1974.Finally, GCF of Fractions for 875/94, 6587/987 is 7/1974.