Greatest Common Factor of 21/75, 50/495, 990/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/75, 50/495, 990/348

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 21/75,50/495,990/348

Given fractions are 21/75,50/495,990/348

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 21,50,990

Greatest Common Factor of Numerators i.e. GCF of 21,50,990 is 1 .

LCM of Denominators means LCM of 75,495,348 as per the given fractions.

LCM of 75,495,348 is 287100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,50,990

GCF of Fractions 21/75,50/495,990/348 is 1/287100

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

Greatest Common Factor of 21,50,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,50,990 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 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 21,50,990 . The biggest common factor number is the GCF number.
So the greatest common factor 21,50,990 is 1.

Lets's calculate LCM of 75,495,348

3 75, 495, 348
5 25, 165, 116
5, 33, 116

∴ So the LCM of the given numbers is 3 x 5 x 5 x 33 x 116 = 287100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287100

Therefore, the GCF of Fractions 21/75,50/495,990/348 is 1/287100

Least Common Multiple of 75,495,348 with GCF Formula

Least Common Multiple of 75,495,348 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 75,495,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,495,348) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(75,495,348) x common factors =3 x 15 = 45

LCM(75,495,348) = ( 75 × 495 × 348 ) / 45

LCM(75,495,348) = 12919500 / 45

LCM(75,495,348) = 287100


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 21/75, 50/495, 990/348

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 21/75, 50/495, 990/348?

Answer: GCF of Numerators as per given numbers 21/75, 50/495, 990/348 is

GCF of Numerators i.e. for 21,50,990 is 1

LCM of denominators i.e. for 75,495,348 is 287100.

Thus, GCF of Fractions is 1/287100.Finally, GCF of Fractions for 21/75, 50/495, 990/348 is 1/287100.