Greatest Common Factor of 43/592, 60/826, 361/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/592, 60/826, 361/571

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 43/592,60/826,361/571

Given fractions are 43/592,60/826,361/571

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 43,60,361

Greatest Common Factor of Numerators i.e. GCF of 43,60,361 is 1 .

LCM of Denominators means LCM of 592,826,571 as per the given fractions.

LCM of 592,826,571 is 139607216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,60,361

GCF of Fractions 43/592,60/826,361/571 is 1/139607216

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

Greatest Common Factor of 43,60,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,60,361 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 43,60,361 . The biggest common factor number is the GCF number.
So the greatest common factor 43,60,361 is 1.

Lets's calculate LCM of 592,826,571

2 592, 826, 571
296, 413, 571

∴ So the LCM of the given numbers is 2 x 296 x 413 x 571 = 139607216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139607216

Therefore, the GCF of Fractions 43/592,60/826,361/571 is 1/139607216

Least Common Multiple of 592,826,571 with GCF Formula

Least Common Multiple of 592,826,571 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 592,826,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,826,571) = 1

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

GCF(592,826,571) x common factors =1 x 2 = 2

LCM(592,826,571) = ( 592 × 826 × 571 ) / 2

LCM(592,826,571) = 279214432 / 2

LCM(592,826,571) = 139607216


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 43/592, 60/826, 361/571

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 43/592, 60/826, 361/571?

Answer: GCF of Numerators as per given numbers 43/592, 60/826, 361/571 is

GCF of Numerators i.e. for 43,60,361 is 1

LCM of denominators i.e. for 592,826,571 is 139607216.

Thus, GCF of Fractions is 1/139607216.Finally, GCF of Fractions for 43/592, 60/826, 361/571 is 1/139607216.