Greatest Common Factor of 261/19, 130/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 261/19, 130/894

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 261/19,130/894

Given fractions are 261/19,130/894

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 261,130

Greatest Common Factor of Numerators i.e. GCF of 261,130 is 1 .

LCM of Denominators means LCM of 19,894 as per the given fractions.

LCM of 19,894 is 16986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 261,130

GCF of Fractions 261/19,130/894 is 1/16986

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

Greatest Common Factor of 261,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,130 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 261,130 . The biggest common factor number is the GCF number.
So the greatest common factor 261,130 is 1.

Lets's calculate LCM of 19,894

Given numbers has no common factors except 1. So, there LCM is their product i.e 16986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16986

Therefore, the GCF of Fractions 261/19,130/894 is 1/16986

Least Common Multiple of 19,894 with GCF Formula

Least Common Multiple of 19,894 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 19,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,894) = 1

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

GCF(19,894) x common factors =1 x 1 = 1

LCM(19,894) = ( 19 × 894 ) / 1

LCM(19,894) = 16986 / 1

LCM(19,894) = 16986


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 261/19, 130/894

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 261/19, 130/894?

Answer: GCF of Numerators as per given numbers 261/19, 130/894 is

GCF of Numerators i.e. for 261,130 is 1

LCM of denominators i.e. for 19,894 is 16986.

Thus, GCF of Fractions is 1/16986.Finally, GCF of Fractions for 261/19, 130/894 is 1/16986.