Greatest Common Factor of 9713/36, 5527/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9713/36, 5527/158

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 9713/36,5527/158

Given fractions are 9713/36,5527/158

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 9713,5527

Greatest Common Factor of Numerators i.e. GCF of 9713,5527 is 1 .

LCM of Denominators means LCM of 36,158 as per the given fractions.

LCM of 36,158 is 2844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9713,5527

GCF of Fractions 9713/36,5527/158 is 1/2844

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

Greatest Common Factor of 9713,5527 By Matching Biggest Common Factor Method

Greatest Common Factor of 9713,5527 By Matching Biggest Common Factor Method

Factors of 9713

List of positive integer factors of 9713 that divides 9713 without a remainder.

1,11,883,9713

Factors of 5527

List of positive integer factors of 5527 that divides 5527 without a remainder.

1,5527

Greatest Common Factor

We found the factors 9713,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 9713,5527 is 1.

Lets's calculate LCM of 36,158

2 36, 158
18, 79

∴ So the LCM of the given numbers is 2 x 18 x 79 = 2844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2844

Therefore, the GCF of Fractions 9713/36,5527/158 is 1/2844

Least Common Multiple of 36,158 with GCF Formula

Least Common Multiple of 36,158 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 36,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,158) = 2

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

GCF(36,158) x common factors =2 x 1 = 2

LCM(36,158) = ( 36 × 158 ) / 2

LCM(36,158) = 5688 / 2

LCM(36,158) = 2844


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 9713/36, 5527/158

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 9713/36, 5527/158?

Answer: GCF of Numerators as per given numbers 9713/36, 5527/158 is

GCF of Numerators i.e. for 9713,5527 is 1

LCM of denominators i.e. for 36,158 is 2844.

Thus, GCF of Fractions is 1/2844.Finally, GCF of Fractions for 9713/36, 5527/158 is 1/2844.