Greatest Common Factor of 63/438, 12/258, 540/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/438, 12/258, 540/989

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 63/438,12/258,540/989

Given fractions are 63/438,12/258,540/989

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 63,12,540

Greatest Common Factor of Numerators i.e. GCF of 63,12,540 is 3 .

LCM of Denominators means LCM of 438,258,989 as per the given fractions.

LCM of 438,258,989 is 433182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,12,540

GCF of Fractions 63/438,12/258,540/989 is 3/433182

3 63, 12, 540
21, 4, 180

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 63,12,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,12,540 By Matching Biggest Common Factor Method

Factors of 63

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

1,3,7,9,21,63

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 63,12,540 . The biggest common factor number is the GCF number.
So the greatest common factor 63,12,540 is 3.

Lets's calculate LCM of 438,258,989

2 438, 258, 989
3 219, 129, 989
43 73, 43, 989
73, 1, 23

∴ So the LCM of the given numbers is 2 x 3 x 43 x 73 x 1 x 23 = 433182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/433182

Therefore, the GCF of Fractions 63/438,12/258,540/989 is 3/433182

Least Common Multiple of 438,258,989 with GCF Formula

Least Common Multiple of 438,258,989 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 438,258,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,258,989) = 1

common factors(in case of two or more numbers have common factors) = 258

GCF(438,258,989) x common factors =1 x 258 = 258

LCM(438,258,989) = ( 438 × 258 × 989 ) / 258

LCM(438,258,989) = 111760956 / 258

LCM(438,258,989) = 433182


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 63/438, 12/258, 540/989

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 63/438, 12/258, 540/989?

Answer: GCF of Numerators as per given numbers 63/438, 12/258, 540/989 is

GCF of Numerators i.e. for 63,12,540 is 3

LCM of denominators i.e. for 438,258,989 is 433182.

Thus, GCF of Fractions is 3/433182.Finally, GCF of Fractions for 63/438, 12/258, 540/989 is 3/433182.