Greatest Common Factor of 9627/364, 6171/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9627/364, 6171/194

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 9627/364,6171/194

Given fractions are 9627/364,6171/194

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 9627,6171

Greatest Common Factor of Numerators i.e. GCF of 9627,6171 is 3 .

LCM of Denominators means LCM of 364,194 as per the given fractions.

LCM of 364,194 is 35308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9627,6171

GCF of Fractions 9627/364,6171/194 is 3/35308

3 9627, 6171
3209, 2057

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9627,6171 By Matching Biggest Common Factor Method

Greatest Common Factor of 9627,6171 By Matching Biggest Common Factor Method

Factors of 9627

List of positive integer factors of 9627 that divides 9627 without a remainder.

1,3,3209,9627

Factors of 6171

List of positive integer factors of 6171 that divides 6171 without a remainder.

1,3,11,17,33,51,121,187,363,561,2057,6171

Greatest Common Factor

We found the factors 9627,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 9627,6171 is 3.

Lets's calculate LCM of 364,194

2 364, 194
182, 97

∴ So the LCM of the given numbers is 2 x 182 x 97 = 35308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35308

Therefore, the GCF of Fractions 9627/364,6171/194 is 3/35308

Least Common Multiple of 364,194 with GCF Formula

Least Common Multiple of 364,194 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 364,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,194) = 2

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

GCF(364,194) x common factors =2 x 1 = 2

LCM(364,194) = ( 364 × 194 ) / 2

LCM(364,194) = 70616 / 2

LCM(364,194) = 35308


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 9627/364, 6171/194

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 9627/364, 6171/194?

Answer: GCF of Numerators as per given numbers 9627/364, 6171/194 is

GCF of Numerators i.e. for 9627,6171 is 3

LCM of denominators i.e. for 364,194 is 35308.

Thus, GCF of Fractions is 3/35308.Finally, GCF of Fractions for 9627/364, 6171/194 is 3/35308.