Greatest Common Factor of 9174/211, 7136/5671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9174/211, 7136/5671

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 9174/211,7136/5671

Given fractions are 9174/211,7136/5671

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 9174,7136

Greatest Common Factor of Numerators i.e. GCF of 9174,7136 is 2 .

LCM of Denominators means LCM of 211,5671 as per the given fractions.

LCM of 211,5671 is 1196581 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9174,7136

GCF of Fractions 9174/211,7136/5671 is 2/1196581

2 9174, 7136
4587, 3568

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

Greatest Common Factor of 9174,7136 By Matching Biggest Common Factor Method

Greatest Common Factor of 9174,7136 By Matching Biggest Common Factor Method

Factors of 9174

List of positive integer factors of 9174 that divides 9174 without a remainder.

1,2,3,6,11,22,33,66,139,278,417,834,1529,3058,4587,9174

Factors of 7136

List of positive integer factors of 7136 that divides 7136 without a remainder.

1,2,4,8,16,32,223,446,892,1784,3568,7136

Greatest Common Factor

We found the factors 9174,7136 . The biggest common factor number is the GCF number.
So the greatest common factor 9174,7136 is 2.

Lets's calculate LCM of 211,5671

Given numbers has no common factors except 1. So, there LCM is their product i.e 1196581

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1196581

Therefore, the GCF of Fractions 9174/211,7136/5671 is 2/1196581

Least Common Multiple of 211,5671 with GCF Formula

Least Common Multiple of 211,5671 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 211,5671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,5671) = 1

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

GCF(211,5671) x common factors =1 x 1 = 1

LCM(211,5671) = ( 211 × 5671 ) / 1

LCM(211,5671) = 1196581 / 1

LCM(211,5671) = 1196581


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 9174/211, 7136/5671

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 9174/211, 7136/5671?

Answer: GCF of Numerators as per given numbers 9174/211, 7136/5671 is

GCF of Numerators i.e. for 9174,7136 is 2

LCM of denominators i.e. for 211,5671 is 1196581.

Thus, GCF of Fractions is 2/1196581.Finally, GCF of Fractions for 9174/211, 7136/5671 is 2/1196581.