Greatest Common Factor of 9/95, 49/13, 61/765, 166/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/95, 49/13, 61/765, 166/191

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 9/95,49/13,61/765,166/191

Given fractions are 9/95,49/13,61/765,166/191

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 9,49,61,166

Greatest Common Factor of Numerators i.e. GCF of 9,49,61,166 is 1 .

LCM of Denominators means LCM of 95,13,765,191 as per the given fractions.

LCM of 95,13,765,191 is 36090405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,49,61,166

GCF of Fractions 9/95,49/13,61/765,166/191 is 1/36090405

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

Greatest Common Factor of 9,49,61,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,49,61,166 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 9,49,61,166 . The biggest common factor number is the GCF number.
So the greatest common factor 9,49,61,166 is 1.

Lets's calculate LCM of 95,13,765,191

5 95, 13, 765, 191
19, 13, 153, 191

∴ So the LCM of the given numbers is 5 x 19 x 13 x 153 x 191 = 36090405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36090405

Therefore, the GCF of Fractions 9/95,49/13,61/765,166/191 is 1/36090405

Least Common Multiple of 95,13,765,191 with GCF Formula

Least Common Multiple of 95,13,765,191 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 95,13,765,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,13,765,191) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(95,13,765,191) x common factors =1 x 5 = 5

LCM(95,13,765,191) = ( 95 × 13 × 765 × 191 ) / 5

LCM(95,13,765,191) = 180452025 / 5

LCM(95,13,765,191) = 36090405


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 9/95, 49/13, 61/765, 166/191

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 9/95, 49/13, 61/765, 166/191?

Answer: GCF of Numerators as per given numbers 9/95, 49/13, 61/765, 166/191 is

GCF of Numerators i.e. for 9,49,61,166 is 1

LCM of denominators i.e. for 95,13,765,191 is 36090405.

Thus, GCF of Fractions is 1/36090405.Finally, GCF of Fractions for 9/95, 49/13, 61/765, 166/191 is 1/36090405.