Greatest Common Factor of 572/51, 585/8824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 572/51, 585/8824

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 572/51,585/8824

Given fractions are 572/51,585/8824

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 572,585

Greatest Common Factor of Numerators i.e. GCF of 572,585 is 13 .

LCM of Denominators means LCM of 51,8824 as per the given fractions.

LCM of 51,8824 is 450024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 572,585

GCF of Fractions 572/51,585/8824 is 13/450024

13 572, 585
44, 45

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 572,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,585 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 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 572,585 . The biggest common factor number is the GCF number.
So the greatest common factor 572,585 is 13.

Lets's calculate LCM of 51,8824

Given numbers has no common factors except 1. So, there LCM is their product i.e 450024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/450024

Therefore, the GCF of Fractions 572/51,585/8824 is 13/450024

Least Common Multiple of 51,8824 with GCF Formula

Least Common Multiple of 51,8824 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 51,8824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,8824) = 1

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

GCF(51,8824) x common factors =1 x 1 = 1

LCM(51,8824) = ( 51 × 8824 ) / 1

LCM(51,8824) = 450024 / 1

LCM(51,8824) = 450024


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 572/51, 585/8824

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 572/51, 585/8824?

Answer: GCF of Numerators as per given numbers 572/51, 585/8824 is

GCF of Numerators i.e. for 572,585 is 13

LCM of denominators i.e. for 51,8824 is 450024.

Thus, GCF of Fractions is 13/450024.Finally, GCF of Fractions for 572/51, 585/8824 is 13/450024.