Greatest Common Factor of 619/17, 261/18, 361/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 619/17, 261/18, 361/558

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 619/17,261/18,361/558

Given fractions are 619/17,261/18,361/558

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 619,261,361

Greatest Common Factor of Numerators i.e. GCF of 619,261,361 is 1 .

LCM of Denominators means LCM of 17,18,558 as per the given fractions.

LCM of 17,18,558 is 9486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 619,261,361

GCF of Fractions 619/17,261/18,361/558 is 1/9486

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

Greatest Common Factor of 619,261,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 619,261,361 By Matching Biggest Common Factor Method

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 261

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

1,3,9,29,87,261

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 619,261,361 . The biggest common factor number is the GCF number.
So the greatest common factor 619,261,361 is 1.

Lets's calculate LCM of 17,18,558

2 17, 18, 558
3 17, 9, 279
3 17, 3, 93
17, 1, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 1 x 31 = 9486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9486

Therefore, the GCF of Fractions 619/17,261/18,361/558 is 1/9486

Least Common Multiple of 17,18,558 with GCF Formula

Least Common Multiple of 17,18,558 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 17,18,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,18,558) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(17,18,558) x common factors =1 x 18 = 18

LCM(17,18,558) = ( 17 × 18 × 558 ) / 18

LCM(17,18,558) = 170748 / 18

LCM(17,18,558) = 9486


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 619/17, 261/18, 361/558

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 619/17, 261/18, 361/558?

Answer: GCF of Numerators as per given numbers 619/17, 261/18, 361/558 is

GCF of Numerators i.e. for 619,261,361 is 1

LCM of denominators i.e. for 17,18,558 is 9486.

Thus, GCF of Fractions is 1/9486.Finally, GCF of Fractions for 619/17, 261/18, 361/558 is 1/9486.