Greatest Common Factor of 467/96, 374/34, 588/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 467/96, 374/34, 588/317

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 467/96,374/34,588/317

Given fractions are 467/96,374/34,588/317

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 467,374,588

Greatest Common Factor of Numerators i.e. GCF of 467,374,588 is 1 .

LCM of Denominators means LCM of 96,34,317 as per the given fractions.

LCM of 96,34,317 is 517344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 467,374,588

GCF of Fractions 467/96,374/34,588/317 is 1/517344

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

Greatest Common Factor of 467,374,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,374,588 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 467,374,588 . The biggest common factor number is the GCF number.
So the greatest common factor 467,374,588 is 1.

Lets's calculate LCM of 96,34,317

2 96, 34, 317
48, 17, 317

∴ So the LCM of the given numbers is 2 x 48 x 17 x 317 = 517344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517344

Therefore, the GCF of Fractions 467/96,374/34,588/317 is 1/517344

Least Common Multiple of 96,34,317 with GCF Formula

Least Common Multiple of 96,34,317 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 96,34,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,34,317) = 1

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

GCF(96,34,317) x common factors =1 x 2 = 2

LCM(96,34,317) = ( 96 × 34 × 317 ) / 2

LCM(96,34,317) = 1034688 / 2

LCM(96,34,317) = 517344


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 467/96, 374/34, 588/317

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 467/96, 374/34, 588/317?

Answer: GCF of Numerators as per given numbers 467/96, 374/34, 588/317 is

GCF of Numerators i.e. for 467,374,588 is 1

LCM of denominators i.e. for 96,34,317 is 517344.

Thus, GCF of Fractions is 1/517344.Finally, GCF of Fractions for 467/96, 374/34, 588/317 is 1/517344.