Greatest Common Factor of 21/87, 45/53, 85/36, 63/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/87, 45/53, 85/36, 63/246

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 21/87,45/53,85/36,63/246

Given fractions are 21/87,45/53,85/36,63/246

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 21,45,85,63

Greatest Common Factor of Numerators i.e. GCF of 21,45,85,63 is 1 .

LCM of Denominators means LCM of 87,53,36,246 as per the given fractions.

LCM of 87,53,36,246 is 2268612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,45,85,63

GCF of Fractions 21/87,45/53,85/36,63/246 is 1/2268612

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

Greatest Common Factor of 21,45,85,63 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,45,85,63 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Greatest Common Factor

We found the factors 21,45,85,63 . The biggest common factor number is the GCF number.
So the greatest common factor 21,45,85,63 is 1.

Lets's calculate LCM of 87,53,36,246

2 87, 53, 36, 246
3 87, 53, 18, 123
29, 53, 6, 41

∴ So the LCM of the given numbers is 2 x 3 x 29 x 53 x 6 x 41 = 2268612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2268612

Therefore, the GCF of Fractions 21/87,45/53,85/36,63/246 is 1/2268612

Least Common Multiple of 87,53,36,246 with GCF Formula

Least Common Multiple of 87,53,36,246 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 87,53,36,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,53,36,246) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(87,53,36,246) x common factors =1 x 18 = 18

LCM(87,53,36,246) = ( 87 × 53 × 36 × 246 ) / 18

LCM(87,53,36,246) = 40835016 / 18

LCM(87,53,36,246) = 2268612


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 21/87, 45/53, 85/36, 63/246

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 21/87, 45/53, 85/36, 63/246?

Answer: GCF of Numerators as per given numbers 21/87, 45/53, 85/36, 63/246 is

GCF of Numerators i.e. for 21,45,85,63 is 1

LCM of denominators i.e. for 87,53,36,246 is 2268612.

Thus, GCF of Fractions is 1/2268612.Finally, GCF of Fractions for 21/87, 45/53, 85/36, 63/246 is 1/2268612.