Greatest Common Factor of 21/36, 15/10, 487/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/36, 15/10, 487/823

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 21/36,15/10,487/823

Given fractions are 21/36,15/10,487/823

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 21,15,487

Greatest Common Factor of Numerators i.e. GCF of 21,15,487 is 1 .

LCM of Denominators means LCM of 36,10,823 as per the given fractions.

LCM of 36,10,823 is 148140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,15,487

GCF of Fractions 21/36,15/10,487/823 is 1/148140

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

Greatest Common Factor of 21,15,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,15,487 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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 21,15,487 . The biggest common factor number is the GCF number.
So the greatest common factor 21,15,487 is 1.

Lets's calculate LCM of 36,10,823

2 36, 10, 823
18, 5, 823

∴ So the LCM of the given numbers is 2 x 18 x 5 x 823 = 148140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148140

Therefore, the GCF of Fractions 21/36,15/10,487/823 is 1/148140

Least Common Multiple of 36,10,823 with GCF Formula

Least Common Multiple of 36,10,823 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 36,10,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,10,823) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(36,10,823) x common factors =1 x 2 = 2

LCM(36,10,823) = ( 36 × 10 × 823 ) / 2

LCM(36,10,823) = 296280 / 2

LCM(36,10,823) = 148140


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 21/36, 15/10, 487/823

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 21/36, 15/10, 487/823?

Answer: GCF of Numerators as per given numbers 21/36, 15/10, 487/823 is

GCF of Numerators i.e. for 21,15,487 is 1

LCM of denominators i.e. for 36,10,823 is 148140.

Thus, GCF of Fractions is 1/148140.Finally, GCF of Fractions for 21/36, 15/10, 487/823 is 1/148140.