Greatest Common Factor of 725/510, 2436/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/510, 2436/731

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 725/510,2436/731

Given fractions are 725/510,2436/731

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 725,2436

Greatest Common Factor of Numerators i.e. GCF of 725,2436 is 29 .

LCM of Denominators means LCM of 510,731 as per the given fractions.

LCM of 510,731 is 21930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,2436

GCF of Fractions 725/510,2436/731 is 29/21930

29 725, 2436
25, 84

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 725,2436 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,2436 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 2436

List of positive integer factors of 2436 that divides 2436 without a remainder.

1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436

Greatest Common Factor

We found the factors 725,2436 . The biggest common factor number is the GCF number.
So the greatest common factor 725,2436 is 29.

Lets's calculate LCM of 510,731

17 510, 731
30, 43

∴ So the LCM of the given numbers is 17 x 30 x 43 = 21930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/21930

Therefore, the GCF of Fractions 725/510,2436/731 is 29/21930

Least Common Multiple of 510,731 with GCF Formula

Least Common Multiple of 510,731 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 510,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,731) = 17

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

GCF(510,731) x common factors =17 x 1 = 17

LCM(510,731) = ( 510 × 731 ) / 17

LCM(510,731) = 372810 / 17

LCM(510,731) = 21930


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 725/510, 2436/731

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 725/510, 2436/731?

Answer: GCF of Numerators as per given numbers 725/510, 2436/731 is

GCF of Numerators i.e. for 725,2436 is 29

LCM of denominators i.e. for 510,731 is 21930.

Thus, GCF of Fractions is 29/21930.Finally, GCF of Fractions for 725/510, 2436/731 is 29/21930.