Greatest Common Factor of 1134/71, 9126/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1134/71, 9126/166

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 1134/71,9126/166

Given fractions are 1134/71,9126/166

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 1134,9126

Greatest Common Factor of Numerators i.e. GCF of 1134,9126 is 54 .

LCM of Denominators means LCM of 71,166 as per the given fractions.

LCM of 71,166 is 11786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1134,9126

GCF of Fractions 1134/71,9126/166 is 54/11786

2 1134, 9126
3 567, 4563
3 189, 1521
3 63, 507
21, 169

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54

Greatest Common Factor of 1134,9126 By Matching Biggest Common Factor Method

Greatest Common Factor of 1134,9126 By Matching Biggest Common Factor Method

Factors of 1134

List of positive integer factors of 1134 that divides 1134 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134

Factors of 9126

List of positive integer factors of 9126 that divides 9126 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126

Greatest Common Factor

We found the factors 1134,9126 . The biggest common factor number is the GCF number.
So the greatest common factor 1134,9126 is 54.

Lets's calculate LCM of 71,166

Given numbers has no common factors except 1. So, there LCM is their product i.e 11786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/11786

Therefore, the GCF of Fractions 1134/71,9126/166 is 54/11786

Least Common Multiple of 71,166 with GCF Formula

Least Common Multiple of 71,166 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 71,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,166) = 1

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

GCF(71,166) x common factors =1 x 1 = 1

LCM(71,166) = ( 71 × 166 ) / 1

LCM(71,166) = 11786 / 1

LCM(71,166) = 11786


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 1134/71, 9126/166

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 1134/71, 9126/166?

Answer: GCF of Numerators as per given numbers 1134/71, 9126/166 is

GCF of Numerators i.e. for 1134,9126 is 54

LCM of denominators i.e. for 71,166 is 11786.

Thus, GCF of Fractions is 54/11786.Finally, GCF of Fractions for 1134/71, 9126/166 is 54/11786.