Greatest Common Factor of 572/84, 319/9360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 572/84, 319/9360

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 572/84,319/9360

Given fractions are 572/84,319/9360

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 572,319

Greatest Common Factor of Numerators i.e. GCF of 572,319 is 11 .

LCM of Denominators means LCM of 84,9360 as per the given fractions.

LCM of 84,9360 is 65520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 572,319

GCF of Fractions 572/84,319/9360 is 11/65520

11 572, 319
52, 29

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 572,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,319 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 572,319 . The biggest common factor number is the GCF number.
So the greatest common factor 572,319 is 11.

Lets's calculate LCM of 84,9360

2 84, 9360
2 42, 4680
3 21, 2340
7, 780

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 780 = 65520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/65520

Therefore, the GCF of Fractions 572/84,319/9360 is 11/65520

Least Common Multiple of 84,9360 with GCF Formula

Least Common Multiple of 84,9360 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 84,9360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,9360) = 12

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

GCF(84,9360) x common factors =12 x 1 = 12

LCM(84,9360) = ( 84 × 9360 ) / 12

LCM(84,9360) = 786240 / 12

LCM(84,9360) = 65520


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 572/84, 319/9360

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 572/84, 319/9360?

Answer: GCF of Numerators as per given numbers 572/84, 319/9360 is

GCF of Numerators i.e. for 572,319 is 11

LCM of denominators i.e. for 84,9360 is 65520.

Thus, GCF of Fractions is 11/65520.Finally, GCF of Fractions for 572/84, 319/9360 is 11/65520.