Greatest Common Factor of 81/813, 824/473, 874/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/813, 824/473, 874/710

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 81/813,824/473,874/710

Given fractions are 81/813,824/473,874/710

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 81,824,874

Greatest Common Factor of Numerators i.e. GCF of 81,824,874 is 1 .

LCM of Denominators means LCM of 813,473,710 as per the given fractions.

LCM of 813,473,710 is 273029790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,824,874

GCF of Fractions 81/813,824/473,874/710 is 1/273029790

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

Greatest Common Factor of 81,824,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,824,874 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 81,824,874 . The biggest common factor number is the GCF number.
So the greatest common factor 81,824,874 is 1.

Lets's calculate LCM of 813,473,710

Given numbers has no common factors except 1. So, there LCM is their product i.e 273029790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273029790

Therefore, the GCF of Fractions 81/813,824/473,874/710 is 1/273029790

Least Common Multiple of 813,473,710 with GCF Formula

Least Common Multiple of 813,473,710 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 813,473,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,473,710) = 1

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

GCF(813,473,710) x common factors =1 x 1 = 1

LCM(813,473,710) = ( 813 × 473 × 710 ) / 1

LCM(813,473,710) = 273029790 / 1

LCM(813,473,710) = 273029790


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 81/813, 824/473, 874/710

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 81/813, 824/473, 874/710?

Answer: GCF of Numerators as per given numbers 81/813, 824/473, 874/710 is

GCF of Numerators i.e. for 81,824,874 is 1

LCM of denominators i.e. for 813,473,710 is 273029790.

Thus, GCF of Fractions is 1/273029790.Finally, GCF of Fractions for 81/813, 824/473, 874/710 is 1/273029790.