Greatest Common Factor of 15/18, 59/72, 39/98, 987/63

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/18, 59/72, 39/98, 987/63

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 15/18,59/72,39/98,987/63

Given fractions are 15/18,59/72,39/98,987/63

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 15,59,39,987

Greatest Common Factor of Numerators i.e. GCF of 15,59,39,987 is 1 .

LCM of Denominators means LCM of 18,72,98,63 as per the given fractions.

LCM of 18,72,98,63 is 3528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,59,39,987

GCF of Fractions 15/18,59/72,39/98,987/63 is 1/3528

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

Greatest Common Factor of 15,59,39,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,59,39,987 By Matching Biggest Common Factor Method

Factors of 15

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

1,3,5,15

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 15,59,39,987 . The biggest common factor number is the GCF number.
So the greatest common factor 15,59,39,987 is 1.

Lets's calculate LCM of 18,72,98,63

2 18, 72, 98, 63
3 9, 36, 49, 63
3 3, 12, 49, 21
7 1, 4, 49, 7
1, 4, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 1 x 4 x 1 x 7 = 3528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3528

Therefore, the GCF of Fractions 15/18,59/72,39/98,987/63 is 1/3528

Least Common Multiple of 18,72,98,63 with GCF Formula

Least Common Multiple of 18,72,98,63 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 18,72,98,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,72,98,63) = 1

common factors(in case of two or more numbers have common factors) = 2268

GCF(18,72,98,63) x common factors =1 x 2268 = 2268

LCM(18,72,98,63) = ( 18 × 72 × 98 × 63 ) / 2268

LCM(18,72,98,63) = 8001504 / 2268

LCM(18,72,98,63) = 3528


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 15/18, 59/72, 39/98, 987/63

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 15/18, 59/72, 39/98, 987/63?

Answer: GCF of Numerators as per given numbers 15/18, 59/72, 39/98, 987/63 is

GCF of Numerators i.e. for 15,59,39,987 is 1

LCM of denominators i.e. for 18,72,98,63 is 3528.

Thus, GCF of Fractions is 1/3528.Finally, GCF of Fractions for 15/18, 59/72, 39/98, 987/63 is 1/3528.