Greatest Common Factor of 2437/65, 4311/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2437/65, 4311/625

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 2437/65,4311/625

Given fractions are 2437/65,4311/625

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 2437,4311

Greatest Common Factor of Numerators i.e. GCF of 2437,4311 is 1 .

LCM of Denominators means LCM of 65,625 as per the given fractions.

LCM of 65,625 is 8125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2437,4311

GCF of Fractions 2437/65,4311/625 is 1/8125

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2437,4311 By Matching Biggest Common Factor Method

Greatest Common Factor of 2437,4311 By Matching Biggest Common Factor Method

Factors of 2437

List of positive integer factors of 2437 that divides 2437 without a remainder.

1,2437

Factors of 4311

List of positive integer factors of 4311 that divides 4311 without a remainder.

1,3,9,479,1437,4311

Greatest Common Factor

We found the factors 2437,4311 . The biggest common factor number is the GCF number.
So the greatest common factor 2437,4311 is 1.

Lets's calculate LCM of 65,625

5 65, 625
13, 125

∴ So the LCM of the given numbers is 5 x 13 x 125 = 8125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8125

Therefore, the GCF of Fractions 2437/65,4311/625 is 1/8125

Least Common Multiple of 65,625 with GCF Formula

Least Common Multiple of 65,625 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 65,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,625) = 5

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

GCF(65,625) x common factors =5 x 1 = 5

LCM(65,625) = ( 65 × 625 ) / 5

LCM(65,625) = 40625 / 5

LCM(65,625) = 8125


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 2437/65, 4311/625

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 2437/65, 4311/625?

Answer: GCF of Numerators as per given numbers 2437/65, 4311/625 is

GCF of Numerators i.e. for 2437,4311 is 1

LCM of denominators i.e. for 65,625 is 8125.

Thus, GCF of Fractions is 1/8125.Finally, GCF of Fractions for 2437/65, 4311/625 is 1/8125.