Greatest Common Factor of 21/32, 365/76, 846/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/32, 365/76, 846/994

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 21/32,365/76,846/994

Given fractions are 21/32,365/76,846/994

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 21,365,846

Greatest Common Factor of Numerators i.e. GCF of 21,365,846 is 1 .

LCM of Denominators means LCM of 32,76,994 as per the given fractions.

LCM of 32,76,994 is 302176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,365,846

GCF of Fractions 21/32,365/76,846/994 is 1/302176

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

Greatest Common Factor of 21,365,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,365,846 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 21,365,846 . The biggest common factor number is the GCF number.
So the greatest common factor 21,365,846 is 1.

Lets's calculate LCM of 32,76,994

2 32, 76, 994
2 16, 38, 497
8, 19, 497

∴ So the LCM of the given numbers is 2 x 2 x 8 x 19 x 497 = 302176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302176

Therefore, the GCF of Fractions 21/32,365/76,846/994 is 1/302176

Least Common Multiple of 32,76,994 with GCF Formula

Least Common Multiple of 32,76,994 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 32,76,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,76,994) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(32,76,994) x common factors =2 x 4 = 8

LCM(32,76,994) = ( 32 × 76 × 994 ) / 8

LCM(32,76,994) = 2417408 / 8

LCM(32,76,994) = 302176


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 21/32, 365/76, 846/994

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 21/32, 365/76, 846/994?

Answer: GCF of Numerators as per given numbers 21/32, 365/76, 846/994 is

GCF of Numerators i.e. for 21,365,846 is 1

LCM of denominators i.e. for 32,76,994 is 302176.

Thus, GCF of Fractions is 1/302176.Finally, GCF of Fractions for 21/32, 365/76, 846/994 is 1/302176.