Greatest Common Factor of 573/62, 382/1526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/62, 382/1526

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 573/62,382/1526

Given fractions are 573/62,382/1526

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 573,382

Greatest Common Factor of Numerators i.e. GCF of 573,382 is 191 .

LCM of Denominators means LCM of 62,1526 as per the given fractions.

LCM of 62,1526 is 47306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,382

GCF of Fractions 573/62,382/1526 is 191/47306

191 573, 382
3, 2

∴ So the GCF of the given numbers is 191 = 191

Greatest Common Factor of 573,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,382 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 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 573,382 . The biggest common factor number is the GCF number.
So the greatest common factor 573,382 is 191.

Lets's calculate LCM of 62,1526

2 62, 1526
31, 763

∴ So the LCM of the given numbers is 2 x 31 x 763 = 47306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 191/47306

Therefore, the GCF of Fractions 573/62,382/1526 is 191/47306

Least Common Multiple of 62,1526 with GCF Formula

Least Common Multiple of 62,1526 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 62,1526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,1526) = 2

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

GCF(62,1526) x common factors =2 x 1 = 2

LCM(62,1526) = ( 62 × 1526 ) / 2

LCM(62,1526) = 94612 / 2

LCM(62,1526) = 47306


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 573/62, 382/1526

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 573/62, 382/1526?

Answer: GCF of Numerators as per given numbers 573/62, 382/1526 is

GCF of Numerators i.e. for 573,382 is 191

LCM of denominators i.e. for 62,1526 is 47306.

Thus, GCF of Fractions is 191/47306.Finally, GCF of Fractions for 573/62, 382/1526 is 191/47306.