Greatest Common Factor of 9/35, 39/49, 66/468, 193/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/35, 39/49, 66/468, 193/181

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 9/35,39/49,66/468,193/181

Given fractions are 9/35,39/49,66/468,193/181

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 9,39,66,193

Greatest Common Factor of Numerators i.e. GCF of 9,39,66,193 is 1 .

LCM of Denominators means LCM of 35,49,468,181 as per the given fractions.

LCM of 35,49,468,181 is 20753460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,39,66,193

GCF of Fractions 9/35,39/49,66/468,193/181 is 1/20753460

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

Greatest Common Factor of 9,39,66,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,39,66,193 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 9,39,66,193 . The biggest common factor number is the GCF number.
So the greatest common factor 9,39,66,193 is 1.

Lets's calculate LCM of 35,49,468,181

7 35, 49, 468, 181
5, 7, 468, 181

∴ So the LCM of the given numbers is 7 x 5 x 7 x 468 x 181 = 20753460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20753460

Therefore, the GCF of Fractions 9/35,39/49,66/468,193/181 is 1/20753460

Least Common Multiple of 35,49,468,181 with GCF Formula

Least Common Multiple of 35,49,468,181 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 35,49,468,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,49,468,181) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,49,468,181) x common factors =1 x 7 = 7

LCM(35,49,468,181) = ( 35 × 49 × 468 × 181 ) / 7

LCM(35,49,468,181) = 145274220 / 7

LCM(35,49,468,181) = 20753460


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 9/35, 39/49, 66/468, 193/181

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 9/35, 39/49, 66/468, 193/181?

Answer: GCF of Numerators as per given numbers 9/35, 39/49, 66/468, 193/181 is

GCF of Numerators i.e. for 9,39,66,193 is 1

LCM of denominators i.e. for 35,49,468,181 is 20753460.

Thus, GCF of Fractions is 1/20753460.Finally, GCF of Fractions for 9/35, 39/49, 66/468, 193/181 is 1/20753460.