Greatest Common Factor of 529/574, 320/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 529/574, 320/742

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 529/574,320/742

Given fractions are 529/574,320/742

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 529,320

Greatest Common Factor of Numerators i.e. GCF of 529,320 is 1 .

LCM of Denominators means LCM of 574,742 as per the given fractions.

LCM of 574,742 is 30422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 529,320

GCF of Fractions 529/574,320/742 is 1/30422

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

Greatest Common Factor of 529,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,320 By Matching Biggest Common Factor Method

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 529,320 . The biggest common factor number is the GCF number.
So the greatest common factor 529,320 is 1.

Lets's calculate LCM of 574,742

2 574, 742
7 287, 371
41, 53

∴ So the LCM of the given numbers is 2 x 7 x 41 x 53 = 30422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30422

Therefore, the GCF of Fractions 529/574,320/742 is 1/30422

Least Common Multiple of 574,742 with GCF Formula

Least Common Multiple of 574,742 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 574,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,742) = 14

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

GCF(574,742) x common factors =14 x 1 = 14

LCM(574,742) = ( 574 × 742 ) / 14

LCM(574,742) = 425908 / 14

LCM(574,742) = 30422


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 529/574, 320/742

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 529/574, 320/742?

Answer: GCF of Numerators as per given numbers 529/574, 320/742 is

GCF of Numerators i.e. for 529,320 is 1

LCM of denominators i.e. for 574,742 is 30422.

Thus, GCF of Fractions is 1/30422.Finally, GCF of Fractions for 529/574, 320/742 is 1/30422.