Greatest Common Factor of 8829/721, 4893/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8829/721, 4893/630

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 8829/721,4893/630

Given fractions are 8829/721,4893/630

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 8829,4893

Greatest Common Factor of Numerators i.e. GCF of 8829,4893 is 3 .

LCM of Denominators means LCM of 721,630 as per the given fractions.

LCM of 721,630 is 64890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8829,4893

GCF of Fractions 8829/721,4893/630 is 3/64890

3 8829, 4893
2943, 1631

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8829,4893 By Matching Biggest Common Factor Method

Greatest Common Factor of 8829,4893 By Matching Biggest Common Factor Method

Factors of 8829

List of positive integer factors of 8829 that divides 8829 without a remainder.

1,3,9,27,81,109,327,981,2943,8829

Factors of 4893

List of positive integer factors of 4893 that divides 4893 without a remainder.

1,3,7,21,233,699,1631,4893

Greatest Common Factor

We found the factors 8829,4893 . The biggest common factor number is the GCF number.
So the greatest common factor 8829,4893 is 3.

Lets's calculate LCM of 721,630

7 721, 630
103, 90

∴ So the LCM of the given numbers is 7 x 103 x 90 = 64890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64890

Therefore, the GCF of Fractions 8829/721,4893/630 is 3/64890

Least Common Multiple of 721,630 with GCF Formula

Least Common Multiple of 721,630 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 721,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,630) = 7

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

GCF(721,630) x common factors =7 x 1 = 7

LCM(721,630) = ( 721 × 630 ) / 7

LCM(721,630) = 454230 / 7

LCM(721,630) = 64890


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 8829/721, 4893/630

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 8829/721, 4893/630?

Answer: GCF of Numerators as per given numbers 8829/721, 4893/630 is

GCF of Numerators i.e. for 8829,4893 is 3

LCM of denominators i.e. for 721,630 is 64890.

Thus, GCF of Fractions is 3/64890.Finally, GCF of Fractions for 8829/721, 4893/630 is 3/64890.