Greatest Common Factor of 810/520, 108/557, 726/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 810/520, 108/557, 726/745

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 810/520,108/557,726/745

Given fractions are 810/520,108/557,726/745

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 810,108,726

Greatest Common Factor of Numerators i.e. GCF of 810,108,726 is 6 .

LCM of Denominators means LCM of 520,557,745 as per the given fractions.

LCM of 520,557,745 is 43156360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 810,108,726

GCF of Fractions 810/520,108/557,726/745 is 6/43156360

2 810, 108, 726
3 405, 54, 363
135, 18, 121

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 810,108,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,108,726 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 810,108,726 . The biggest common factor number is the GCF number.
So the greatest common factor 810,108,726 is 6.

Lets's calculate LCM of 520,557,745

5 520, 557, 745
104, 557, 149

∴ So the LCM of the given numbers is 5 x 104 x 557 x 149 = 43156360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/43156360

Therefore, the GCF of Fractions 810/520,108/557,726/745 is 6/43156360

Least Common Multiple of 520,557,745 with GCF Formula

Least Common Multiple of 520,557,745 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 520,557,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,557,745) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(520,557,745) x common factors =1 x 5 = 5

LCM(520,557,745) = ( 520 × 557 × 745 ) / 5

LCM(520,557,745) = 215781800 / 5

LCM(520,557,745) = 43156360


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 810/520, 108/557, 726/745

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 810/520, 108/557, 726/745?

Answer: GCF of Numerators as per given numbers 810/520, 108/557, 726/745 is

GCF of Numerators i.e. for 810,108,726 is 6

LCM of denominators i.e. for 520,557,745 is 43156360.

Thus, GCF of Fractions is 6/43156360.Finally, GCF of Fractions for 810/520, 108/557, 726/745 is 6/43156360.