Greatest Common Factor of 5976/15, 9558/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5976/15, 9558/101

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 5976/15,9558/101

Given fractions are 5976/15,9558/101

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 5976,9558

Greatest Common Factor of Numerators i.e. GCF of 5976,9558 is 18 .

LCM of Denominators means LCM of 15,101 as per the given fractions.

LCM of 15,101 is 1515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5976,9558

GCF of Fractions 5976/15,9558/101 is 18/1515

2 5976, 9558
3 2988, 4779
3 996, 1593
332, 531

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 5976,9558 By Matching Biggest Common Factor Method

Greatest Common Factor of 5976,9558 By Matching Biggest Common Factor Method

Factors of 5976

List of positive integer factors of 5976 that divides 5976 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976

Factors of 9558

List of positive integer factors of 9558 that divides 9558 without a remainder.

1,2,3,6,9,18,27,54,59,81,118,162,177,354,531,1062,1593,3186,4779,9558

Greatest Common Factor

We found the factors 5976,9558 . The biggest common factor number is the GCF number.
So the greatest common factor 5976,9558 is 18.

Lets's calculate LCM of 15,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 1515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1515

Therefore, the GCF of Fractions 5976/15,9558/101 is 18/1515

Least Common Multiple of 15,101 with GCF Formula

Least Common Multiple of 15,101 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 15,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,101) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(15,101) x common factors =1 x 1 = 1

LCM(15,101) = ( 15 × 101 ) / 1

LCM(15,101) = 1515 / 1

LCM(15,101) = 1515


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 5976/15, 9558/101

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 5976/15, 9558/101?

Answer: GCF of Numerators as per given numbers 5976/15, 9558/101 is

GCF of Numerators i.e. for 5976,9558 is 18

LCM of denominators i.e. for 15,101 is 1515.

Thus, GCF of Fractions is 18/1515.Finally, GCF of Fractions for 5976/15, 9558/101 is 18/1515.