Greatest Common Factor of 265/46, 617/61, 408/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 265/46, 617/61, 408/54

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 265/46,617/61,408/54

Given fractions are 265/46,617/61,408/54

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 265,617,408

Greatest Common Factor of Numerators i.e. GCF of 265,617,408 is 1 .

LCM of Denominators means LCM of 46,61,54 as per the given fractions.

LCM of 46,61,54 is 75762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 265,617,408

GCF of Fractions 265/46,617/61,408/54 is 1/75762

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

Greatest Common Factor of 265,617,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,617,408 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 265,617,408 . The biggest common factor number is the GCF number.
So the greatest common factor 265,617,408 is 1.

Lets's calculate LCM of 46,61,54

2 46, 61, 54
23, 61, 27

∴ So the LCM of the given numbers is 2 x 23 x 61 x 27 = 75762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75762

Therefore, the GCF of Fractions 265/46,617/61,408/54 is 1/75762

Least Common Multiple of 46,61,54 with GCF Formula

Least Common Multiple of 46,61,54 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 46,61,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,61,54) = 1

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

GCF(46,61,54) x common factors =1 x 2 = 2

LCM(46,61,54) = ( 46 × 61 × 54 ) / 2

LCM(46,61,54) = 151524 / 2

LCM(46,61,54) = 75762


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 265/46, 617/61, 408/54

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 265/46, 617/61, 408/54?

Answer: GCF of Numerators as per given numbers 265/46, 617/61, 408/54 is

GCF of Numerators i.e. for 265,617,408 is 1

LCM of denominators i.e. for 46,61,54 is 75762.

Thus, GCF of Fractions is 1/75762.Finally, GCF of Fractions for 265/46, 617/61, 408/54 is 1/75762.