Greatest Common Factor of 893/404, 603/192, 862/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 893/404, 603/192, 862/976

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 893/404,603/192,862/976

Given fractions are 893/404,603/192,862/976

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 893,603,862

Greatest Common Factor of Numerators i.e. GCF of 893,603,862 is 1 .

LCM of Denominators means LCM of 404,192,976 as per the given fractions.

LCM of 404,192,976 is 1182912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 893,603,862

GCF of Fractions 893/404,603/192,862/976 is 1/1182912

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

Greatest Common Factor of 893,603,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,603,862 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 893,603,862 . The biggest common factor number is the GCF number.
So the greatest common factor 893,603,862 is 1.

Lets's calculate LCM of 404,192,976

2 404, 192, 976
2 202, 96, 488
2 101, 48, 244
2 101, 24, 122
101, 12, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 101 x 12 x 61 = 1182912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1182912

Therefore, the GCF of Fractions 893/404,603/192,862/976 is 1/1182912

Least Common Multiple of 404,192,976 with GCF Formula

Least Common Multiple of 404,192,976 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 404,192,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,192,976) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(404,192,976) x common factors =4 x 16 = 64

LCM(404,192,976) = ( 404 × 192 × 976 ) / 64

LCM(404,192,976) = 75706368 / 64

LCM(404,192,976) = 1182912


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 893/404, 603/192, 862/976

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 893/404, 603/192, 862/976?

Answer: GCF of Numerators as per given numbers 893/404, 603/192, 862/976 is

GCF of Numerators i.e. for 893,603,862 is 1

LCM of denominators i.e. for 404,192,976 is 1182912.

Thus, GCF of Fractions is 1/1182912.Finally, GCF of Fractions for 893/404, 603/192, 862/976 is 1/1182912.