Greatest Common Factor of 613/34, 189/52, 417/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 613/34, 189/52, 417/263

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 613/34,189/52,417/263

Given fractions are 613/34,189/52,417/263

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 613,189,417

Greatest Common Factor of Numerators i.e. GCF of 613,189,417 is 1 .

LCM of Denominators means LCM of 34,52,263 as per the given fractions.

LCM of 34,52,263 is 232492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 613,189,417

GCF of Fractions 613/34,189/52,417/263 is 1/232492

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

Greatest Common Factor of 613,189,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,189,417 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 613,189,417 . The biggest common factor number is the GCF number.
So the greatest common factor 613,189,417 is 1.

Lets's calculate LCM of 34,52,263

2 34, 52, 263
17, 26, 263

∴ So the LCM of the given numbers is 2 x 17 x 26 x 263 = 232492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232492

Therefore, the GCF of Fractions 613/34,189/52,417/263 is 1/232492

Least Common Multiple of 34,52,263 with GCF Formula

Least Common Multiple of 34,52,263 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 34,52,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,52,263) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,52,263) x common factors =1 x 2 = 2

LCM(34,52,263) = ( 34 × 52 × 263 ) / 2

LCM(34,52,263) = 464984 / 2

LCM(34,52,263) = 232492


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 613/34, 189/52, 417/263

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 613/34, 189/52, 417/263?

Answer: GCF of Numerators as per given numbers 613/34, 189/52, 417/263 is

GCF of Numerators i.e. for 613,189,417 is 1

LCM of denominators i.e. for 34,52,263 is 232492.

Thus, GCF of Fractions is 1/232492.Finally, GCF of Fractions for 613/34, 189/52, 417/263 is 1/232492.