Greatest Common Factor of 9356/27, 9062/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9356/27, 9062/526

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 9356/27,9062/526

Given fractions are 9356/27,9062/526

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 9356,9062

Greatest Common Factor of Numerators i.e. GCF of 9356,9062 is 2 .

LCM of Denominators means LCM of 27,526 as per the given fractions.

LCM of 27,526 is 14202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9356,9062

GCF of Fractions 9356/27,9062/526 is 2/14202

2 9356, 9062
4678, 4531

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9356,9062 By Matching Biggest Common Factor Method

Greatest Common Factor of 9356,9062 By Matching Biggest Common Factor Method

Factors of 9356

List of positive integer factors of 9356 that divides 9356 without a remainder.

1,2,4,2339,4678,9356

Factors of 9062

List of positive integer factors of 9062 that divides 9062 without a remainder.

1,2,23,46,197,394,4531,9062

Greatest Common Factor

We found the factors 9356,9062 . The biggest common factor number is the GCF number.
So the greatest common factor 9356,9062 is 2.

Lets's calculate LCM of 27,526

Given numbers has no common factors except 1. So, there LCM is their product i.e 14202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14202

Therefore, the GCF of Fractions 9356/27,9062/526 is 2/14202

Least Common Multiple of 27,526 with GCF Formula

Least Common Multiple of 27,526 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 27,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,526) = 1

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

GCF(27,526) x common factors =1 x 1 = 1

LCM(27,526) = ( 27 × 526 ) / 1

LCM(27,526) = 14202 / 1

LCM(27,526) = 14202


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 9356/27, 9062/526

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 9356/27, 9062/526?

Answer: GCF of Numerators as per given numbers 9356/27, 9062/526 is

GCF of Numerators i.e. for 9356,9062 is 2

LCM of denominators i.e. for 27,526 is 14202.

Thus, GCF of Fractions is 2/14202.Finally, GCF of Fractions for 9356/27, 9062/526 is 2/14202.