Greatest Common Factor of 585/65, 517/6968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 585/65, 517/6968

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 585/65,517/6968

Given fractions are 585/65,517/6968

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 585,517

Greatest Common Factor of Numerators i.e. GCF of 585,517 is 1 .

LCM of Denominators means LCM of 65,6968 as per the given fractions.

LCM of 65,6968 is 34840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 585,517

GCF of Fractions 585/65,517/6968 is 1/34840

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

Greatest Common Factor of 585,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,517 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 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 585,517 . The biggest common factor number is the GCF number.
So the greatest common factor 585,517 is 1.

Lets's calculate LCM of 65,6968

13 65, 6968
5, 536

∴ So the LCM of the given numbers is 13 x 5 x 536 = 34840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34840

Therefore, the GCF of Fractions 585/65,517/6968 is 1/34840

Least Common Multiple of 65,6968 with GCF Formula

Least Common Multiple of 65,6968 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 65,6968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,6968) = 13

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

GCF(65,6968) x common factors =13 x 1 = 13

LCM(65,6968) = ( 65 × 6968 ) / 13

LCM(65,6968) = 452920 / 13

LCM(65,6968) = 34840


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 585/65, 517/6968

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 585/65, 517/6968?

Answer: GCF of Numerators as per given numbers 585/65, 517/6968 is

GCF of Numerators i.e. for 585,517 is 1

LCM of denominators i.e. for 65,6968 is 34840.

Thus, GCF of Fractions is 1/34840.Finally, GCF of Fractions for 585/65, 517/6968 is 1/34840.