Greatest Common Factor of 573/34, 152/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/34, 152/731

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 573/34,152/731

Given fractions are 573/34,152/731

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 573,152

Greatest Common Factor of Numerators i.e. GCF of 573,152 is 1 .

LCM of Denominators means LCM of 34,731 as per the given fractions.

LCM of 34,731 is 1462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,152

GCF of Fractions 573/34,152/731 is 1/1462

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

Greatest Common Factor of 573,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,152 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 573,152 . The biggest common factor number is the GCF number.
So the greatest common factor 573,152 is 1.

Lets's calculate LCM of 34,731

17 34, 731
2, 43

∴ So the LCM of the given numbers is 17 x 2 x 43 = 1462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1462

Therefore, the GCF of Fractions 573/34,152/731 is 1/1462

Least Common Multiple of 34,731 with GCF Formula

Least Common Multiple of 34,731 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 34,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,731) = 17

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

GCF(34,731) x common factors =17 x 1 = 17

LCM(34,731) = ( 34 × 731 ) / 17

LCM(34,731) = 24854 / 17

LCM(34,731) = 1462


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 573/34, 152/731

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 573/34, 152/731?

Answer: GCF of Numerators as per given numbers 573/34, 152/731 is

GCF of Numerators i.e. for 573,152 is 1

LCM of denominators i.e. for 34,731 is 1462.

Thus, GCF of Fractions is 1/1462.Finally, GCF of Fractions for 573/34, 152/731 is 1/1462.