Greatest Common Factor of 650/60, 575/3941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 650/60, 575/3941

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 650/60,575/3941

Given fractions are 650/60,575/3941

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 650,575

Greatest Common Factor of Numerators i.e. GCF of 650,575 is 25 .

LCM of Denominators means LCM of 60,3941 as per the given fractions.

LCM of 60,3941 is 236460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 650,575

GCF of Fractions 650/60,575/3941 is 25/236460

5 650, 575
5 130, 115
26, 23

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

Greatest Common Factor of 650,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,575 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 650,575 . The biggest common factor number is the GCF number.
So the greatest common factor 650,575 is 25.

Lets's calculate LCM of 60,3941

Given numbers has no common factors except 1. So, there LCM is their product i.e 236460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/236460

Therefore, the GCF of Fractions 650/60,575/3941 is 25/236460

Least Common Multiple of 60,3941 with GCF Formula

Least Common Multiple of 60,3941 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 60,3941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,3941) = 1

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

GCF(60,3941) x common factors =1 x 1 = 1

LCM(60,3941) = ( 60 × 3941 ) / 1

LCM(60,3941) = 236460 / 1

LCM(60,3941) = 236460


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 650/60, 575/3941

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 650/60, 575/3941?

Answer: GCF of Numerators as per given numbers 650/60, 575/3941 is

GCF of Numerators i.e. for 650,575 is 25

LCM of denominators i.e. for 60,3941 is 236460.

Thus, GCF of Fractions is 25/236460.Finally, GCF of Fractions for 650/60, 575/3941 is 25/236460.