Greatest Common Factor of 210/870, 328/826, 993/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/870, 328/826, 993/192

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 210/870,328/826,993/192

Given fractions are 210/870,328/826,993/192

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 210,328,993

Greatest Common Factor of Numerators i.e. GCF of 210,328,993 is 1 .

LCM of Denominators means LCM of 870,826,192 as per the given fractions.

LCM of 870,826,192 is 11497920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,328,993

GCF of Fractions 210/870,328/826,993/192 is 1/11497920

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

Greatest Common Factor of 210,328,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,328,993 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 210,328,993 . The biggest common factor number is the GCF number.
So the greatest common factor 210,328,993 is 1.

Lets's calculate LCM of 870,826,192

2 870, 826, 192
3 435, 413, 96
145, 413, 32

∴ So the LCM of the given numbers is 2 x 3 x 145 x 413 x 32 = 11497920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11497920

Therefore, the GCF of Fractions 210/870,328/826,993/192 is 1/11497920

Least Common Multiple of 870,826,192 with GCF Formula

Least Common Multiple of 870,826,192 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 870,826,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,826,192) = 2

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

GCF(870,826,192) x common factors =2 x 6 = 12

LCM(870,826,192) = ( 870 × 826 × 192 ) / 12

LCM(870,826,192) = 137975040 / 12

LCM(870,826,192) = 11497920


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 210/870, 328/826, 993/192

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 210/870, 328/826, 993/192?

Answer: GCF of Numerators as per given numbers 210/870, 328/826, 993/192 is

GCF of Numerators i.e. for 210,328,993 is 1

LCM of denominators i.e. for 870,826,192 is 11497920.

Thus, GCF of Fractions is 1/11497920.Finally, GCF of Fractions for 210/870, 328/826, 993/192 is 1/11497920.