Greatest Common Factor of 975/4475, 987/3575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 975/4475, 987/3575

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 975/4475,987/3575

Given fractions are 975/4475,987/3575

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 975,987

Greatest Common Factor of Numerators i.e. GCF of 975,987 is 3 .

LCM of Denominators means LCM of 4475,3575 as per the given fractions.

LCM of 4475,3575 is 639925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 975,987

GCF of Fractions 975/4475,987/3575 is 3/639925

3 975, 987
325, 329

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 975,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,987 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

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 975,987 . The biggest common factor number is the GCF number.
So the greatest common factor 975,987 is 3.

Lets's calculate LCM of 4475,3575

5 4475, 3575
5 895, 715
179, 143

∴ So the LCM of the given numbers is 5 x 5 x 179 x 143 = 639925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/639925

Therefore, the GCF of Fractions 975/4475,987/3575 is 3/639925

Least Common Multiple of 4475,3575 with GCF Formula

Least Common Multiple of 4475,3575 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 4475,3575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4475,3575) = 25

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

GCF(4475,3575) x common factors =25 x 1 = 25

LCM(4475,3575) = ( 4475 × 3575 ) / 25

LCM(4475,3575) = 15998125 / 25

LCM(4475,3575) = 639925


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 975/4475, 987/3575

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 975/4475, 987/3575?

Answer: GCF of Numerators as per given numbers 975/4475, 987/3575 is

GCF of Numerators i.e. for 975,987 is 3

LCM of denominators i.e. for 4475,3575 is 639925.

Thus, GCF of Fractions is 3/639925.Finally, GCF of Fractions for 975/4475, 987/3575 is 3/639925.