Greatest Common Factor of 21/87, 18/58, 209/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/87, 18/58, 209/549

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 21/87,18/58,209/549

Given fractions are 21/87,18/58,209/549

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 21,18,209

Greatest Common Factor of Numerators i.e. GCF of 21,18,209 is 1 .

LCM of Denominators means LCM of 87,58,549 as per the given fractions.

LCM of 87,58,549 is 31842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,18,209

GCF of Fractions 21/87,18/58,209/549 is 1/31842

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

Greatest Common Factor of 21,18,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,18,209 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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 21,18,209 . The biggest common factor number is the GCF number.
So the greatest common factor 21,18,209 is 1.

Lets's calculate LCM of 87,58,549

3 87, 58, 549
29 29, 58, 183
1, 2, 183

∴ So the LCM of the given numbers is 3 x 29 x 1 x 2 x 183 = 31842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31842

Therefore, the GCF of Fractions 21/87,18/58,209/549 is 1/31842

Least Common Multiple of 87,58,549 with GCF Formula

Least Common Multiple of 87,58,549 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 87,58,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,58,549) = 1

common factors(in case of two or more numbers have common factors) = 87

GCF(87,58,549) x common factors =1 x 87 = 87

LCM(87,58,549) = ( 87 × 58 × 549 ) / 87

LCM(87,58,549) = 2770254 / 87

LCM(87,58,549) = 31842


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 21/87, 18/58, 209/549

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, 18/58, 209/549?

Answer: GCF of Numerators as per given numbers 21/87, 18/58, 209/549 is

GCF of Numerators i.e. for 21,18,209 is 1

LCM of denominators i.e. for 87,58,549 is 31842.

Thus, GCF of Fractions is 1/31842.Finally, GCF of Fractions for 21/87, 18/58, 209/549 is 1/31842.