Greatest Common Factor of 585/171, 6305/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 585/171, 6305/165

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 585/171,6305/165

Given fractions are 585/171,6305/165

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 585,6305

Greatest Common Factor of Numerators i.e. GCF of 585,6305 is 65 .

LCM of Denominators means LCM of 171,165 as per the given fractions.

LCM of 171,165 is 9405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 585,6305

GCF of Fractions 585/171,6305/165 is 65/9405

5 585, 6305
13 117, 1261
9, 97

∴ So the GCF of the given numbers is 5 x 13 = 65

Greatest Common Factor of 585,6305 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,6305 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 6305

List of positive integer factors of 6305 that divides 6305 without a remainder.

1,5,13,65,97,485,1261,6305

Greatest Common Factor

We found the factors 585,6305 . The biggest common factor number is the GCF number.
So the greatest common factor 585,6305 is 65.

Lets's calculate LCM of 171,165

3 171, 165
57, 55

∴ So the LCM of the given numbers is 3 x 57 x 55 = 9405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/9405

Therefore, the GCF of Fractions 585/171,6305/165 is 65/9405

Least Common Multiple of 171,165 with GCF Formula

Least Common Multiple of 171,165 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 171,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,165) = 3

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

GCF(171,165) x common factors =3 x 1 = 3

LCM(171,165) = ( 171 × 165 ) / 3

LCM(171,165) = 28215 / 3

LCM(171,165) = 9405


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 585/171, 6305/165

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 585/171, 6305/165?

Answer: GCF of Numerators as per given numbers 585/171, 6305/165 is

GCF of Numerators i.e. for 585,6305 is 65

LCM of denominators i.e. for 171,165 is 9405.

Thus, GCF of Fractions is 65/9405.Finally, GCF of Fractions for 585/171, 6305/165 is 65/9405.