Greatest Common Factor of 595/149, 9741/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 595/149, 9741/615

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 595/149,9741/615

Given fractions are 595/149,9741/615

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 595,9741

Greatest Common Factor of Numerators i.e. GCF of 595,9741 is 17 .

LCM of Denominators means LCM of 149,615 as per the given fractions.

LCM of 149,615 is 91635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 595,9741

GCF of Fractions 595/149,9741/615 is 17/91635

17 595, 9741
35, 573

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 595,9741 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,9741 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 9741

List of positive integer factors of 9741 that divides 9741 without a remainder.

1,3,17,51,191,573,3247,9741

Greatest Common Factor

We found the factors 595,9741 . The biggest common factor number is the GCF number.
So the greatest common factor 595,9741 is 17.

Lets's calculate LCM of 149,615

Given numbers has no common factors except 1. So, there LCM is their product i.e 91635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/91635

Therefore, the GCF of Fractions 595/149,9741/615 is 17/91635

Least Common Multiple of 149,615 with GCF Formula

Least Common Multiple of 149,615 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 149,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,615) = 1

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

GCF(149,615) x common factors =1 x 1 = 1

LCM(149,615) = ( 149 × 615 ) / 1

LCM(149,615) = 91635 / 1

LCM(149,615) = 91635


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 595/149, 9741/615

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 595/149, 9741/615?

Answer: GCF of Numerators as per given numbers 595/149, 9741/615 is

GCF of Numerators i.e. for 595,9741 is 17

LCM of denominators i.e. for 149,615 is 91635.

Thus, GCF of Fractions is 17/91635.Finally, GCF of Fractions for 595/149, 9741/615 is 17/91635.