Greatest Common Factor of 3/61, 30/91, 17/181, 269/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/61, 30/91, 17/181, 269/129

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 3/61,30/91,17/181,269/129

Given fractions are 3/61,30/91,17/181,269/129

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 3,30,17,269

Greatest Common Factor of Numerators i.e. GCF of 3,30,17,269 is 1 .

LCM of Denominators means LCM of 61,91,181,129 as per the given fractions.

LCM of 61,91,181,129 is 129610299 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,30,17,269

GCF of Fractions 3/61,30/91,17/181,269/129 is 1/129610299

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

Greatest Common Factor of 3,30,17,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,30,17,269 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 3,30,17,269 . The biggest common factor number is the GCF number.
So the greatest common factor 3,30,17,269 is 1.

Lets's calculate LCM of 61,91,181,129

Given numbers has no common factors except 1. So, there LCM is their product i.e 129610299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129610299

Therefore, the GCF of Fractions 3/61,30/91,17/181,269/129 is 1/129610299

Least Common Multiple of 61,91,181,129 with GCF Formula

Least Common Multiple of 61,91,181,129 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 61,91,181,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,91,181,129) = 1

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

GCF(61,91,181,129) x common factors =1 x 1 = 1

LCM(61,91,181,129) = ( 61 × 91 × 181 × 129 ) / 1

LCM(61,91,181,129) = 129610299 / 1

LCM(61,91,181,129) = 129610299


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 3/61, 30/91, 17/181, 269/129

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 3/61, 30/91, 17/181, 269/129?

Answer: GCF of Numerators as per given numbers 3/61, 30/91, 17/181, 269/129 is

GCF of Numerators i.e. for 3,30,17,269 is 1

LCM of denominators i.e. for 61,91,181,129 is 129610299.

Thus, GCF of Fractions is 1/129610299.Finally, GCF of Fractions for 3/61, 30/91, 17/181, 269/129 is 1/129610299.