Greatest Common Factor of 3975/582, 6475/2220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3975/582, 6475/2220

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 3975/582,6475/2220

Given fractions are 3975/582,6475/2220

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 3975,6475

Greatest Common Factor of Numerators i.e. GCF of 3975,6475 is 25 .

LCM of Denominators means LCM of 582,2220 as per the given fractions.

LCM of 582,2220 is 215340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3975,6475

GCF of Fractions 3975/582,6475/2220 is 25/215340

5 3975, 6475
5 795, 1295
159, 259

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 3975,6475 By Matching Biggest Common Factor Method

Greatest Common Factor of 3975,6475 By Matching Biggest Common Factor Method

Factors of 3975

List of positive integer factors of 3975 that divides 3975 without a remainder.

1,3,5,15,25,53,75,159,265,795,1325,3975

Factors of 6475

List of positive integer factors of 6475 that divides 6475 without a remainder.

1,5,7,25,35,37,175,185,259,925,1295,6475

Greatest Common Factor

We found the factors 3975,6475 . The biggest common factor number is the GCF number.
So the greatest common factor 3975,6475 is 25.

Lets's calculate LCM of 582,2220

2 582, 2220
3 291, 1110
97, 370

∴ So the LCM of the given numbers is 2 x 3 x 97 x 370 = 215340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/215340

Therefore, the GCF of Fractions 3975/582,6475/2220 is 25/215340

Least Common Multiple of 582,2220 with GCF Formula

Least Common Multiple of 582,2220 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 582,2220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,2220) = 6

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

GCF(582,2220) x common factors =6 x 1 = 6

LCM(582,2220) = ( 582 × 2220 ) / 6

LCM(582,2220) = 1292040 / 6

LCM(582,2220) = 215340


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 3975/582, 6475/2220

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 3975/582, 6475/2220?

Answer: GCF of Numerators as per given numbers 3975/582, 6475/2220 is

GCF of Numerators i.e. for 3975,6475 is 25

LCM of denominators i.e. for 582,2220 is 215340.

Thus, GCF of Fractions is 25/215340.Finally, GCF of Fractions for 3975/582, 6475/2220 is 25/215340.