Greatest Common Factor of 721/822, 878/645, 892/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 721/822, 878/645, 892/848

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 721/822,878/645,892/848

Given fractions are 721/822,878/645,892/848

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 721,878,892

Greatest Common Factor of Numerators i.e. GCF of 721,878,892 is 1 .

LCM of Denominators means LCM of 822,645,848 as per the given fractions.

LCM of 822,645,848 is 74933520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 721,878,892

GCF of Fractions 721/822,878/645,892/848 is 1/74933520

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

Greatest Common Factor of 721,878,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,878,892 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 721,878,892 . The biggest common factor number is the GCF number.
So the greatest common factor 721,878,892 is 1.

Lets's calculate LCM of 822,645,848

2 822, 645, 848
3 411, 645, 424
137, 215, 424

∴ So the LCM of the given numbers is 2 x 3 x 137 x 215 x 424 = 74933520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74933520

Therefore, the GCF of Fractions 721/822,878/645,892/848 is 1/74933520

Least Common Multiple of 822,645,848 with GCF Formula

Least Common Multiple of 822,645,848 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 822,645,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,645,848) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(822,645,848) x common factors =1 x 6 = 6

LCM(822,645,848) = ( 822 × 645 × 848 ) / 6

LCM(822,645,848) = 449601120 / 6

LCM(822,645,848) = 74933520


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 721/822, 878/645, 892/848

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 721/822, 878/645, 892/848?

Answer: GCF of Numerators as per given numbers 721/822, 878/645, 892/848 is

GCF of Numerators i.e. for 721,878,892 is 1

LCM of denominators i.e. for 822,645,848 is 74933520.

Thus, GCF of Fractions is 1/74933520.Finally, GCF of Fractions for 721/822, 878/645, 892/848 is 1/74933520.