Greatest Common Factor of 585/144, 2313/9751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 585/144, 2313/9751

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 585/144,2313/9751

Given fractions are 585/144,2313/9751

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 585,2313

Greatest Common Factor of Numerators i.e. GCF of 585,2313 is 9 .

LCM of Denominators means LCM of 144,9751 as per the given fractions.

LCM of 144,9751 is 1404144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 585,2313

GCF of Fractions 585/144,2313/9751 is 9/1404144

3 585, 2313
3 195, 771
65, 257

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 585,2313 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,2313 By Matching Biggest Common Factor Method

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

Factors of 2313

List of positive integer factors of 2313 that divides 2313 without a remainder.

1,3,9,257,771,2313

Greatest Common Factor

We found the factors 585,2313 . The biggest common factor number is the GCF number.
So the greatest common factor 585,2313 is 9.

Lets's calculate LCM of 144,9751

Given numbers has no common factors except 1. So, there LCM is their product i.e 1404144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1404144

Therefore, the GCF of Fractions 585/144,2313/9751 is 9/1404144

Least Common Multiple of 144,9751 with GCF Formula

Least Common Multiple of 144,9751 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 144,9751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,9751) = 1

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

GCF(144,9751) x common factors =1 x 1 = 1

LCM(144,9751) = ( 144 × 9751 ) / 1

LCM(144,9751) = 1404144 / 1

LCM(144,9751) = 1404144


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 585/144, 2313/9751

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 585/144, 2313/9751?

Answer: GCF of Numerators as per given numbers 585/144, 2313/9751 is

GCF of Numerators i.e. for 585,2313 is 9

LCM of denominators i.e. for 144,9751 is 1404144.

Thus, GCF of Fractions is 9/1404144.Finally, GCF of Fractions for 585/144, 2313/9751 is 9/1404144.