Greatest Common Factor of 9527/54, 5989/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9527/54, 5989/134

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 9527/54,5989/134

Given fractions are 9527/54,5989/134

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 9527,5989

Greatest Common Factor of Numerators i.e. GCF of 9527,5989 is 1 .

LCM of Denominators means LCM of 54,134 as per the given fractions.

LCM of 54,134 is 3618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9527,5989

GCF of Fractions 9527/54,5989/134 is 1/3618

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

Greatest Common Factor of 9527,5989 By Matching Biggest Common Factor Method

Greatest Common Factor of 9527,5989 By Matching Biggest Common Factor Method

Factors of 9527

List of positive integer factors of 9527 that divides 9527 without a remainder.

1,7,1361,9527

Factors of 5989

List of positive integer factors of 5989 that divides 5989 without a remainder.

1,53,113,5989

Greatest Common Factor

We found the factors 9527,5989 . The biggest common factor number is the GCF number.
So the greatest common factor 9527,5989 is 1.

Lets's calculate LCM of 54,134

2 54, 134
27, 67

∴ So the LCM of the given numbers is 2 x 27 x 67 = 3618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3618

Therefore, the GCF of Fractions 9527/54,5989/134 is 1/3618

Least Common Multiple of 54,134 with GCF Formula

Least Common Multiple of 54,134 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 54,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,134) = 2

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

GCF(54,134) x common factors =2 x 1 = 2

LCM(54,134) = ( 54 × 134 ) / 2

LCM(54,134) = 7236 / 2

LCM(54,134) = 3618


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 9527/54, 5989/134

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 9527/54, 5989/134?

Answer: GCF of Numerators as per given numbers 9527/54, 5989/134 is

GCF of Numerators i.e. for 9527,5989 is 1

LCM of denominators i.e. for 54,134 is 3618.

Thus, GCF of Fractions is 1/3618.Finally, GCF of Fractions for 9527/54, 5989/134 is 1/3618.