Greatest Common Factor of 517/61, 309/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 517/61, 309/495

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 517/61,309/495

Given fractions are 517/61,309/495

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 517,309

Greatest Common Factor of Numerators i.e. GCF of 517,309 is 1 .

LCM of Denominators means LCM of 61,495 as per the given fractions.

LCM of 61,495 is 30195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 517,309

GCF of Fractions 517/61,309/495 is 1/30195

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

Greatest Common Factor of 517,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,309 By Matching Biggest Common Factor Method

Factors of 517

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

1,11,47,517

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 517,309 . The biggest common factor number is the GCF number.
So the greatest common factor 517,309 is 1.

Lets's calculate LCM of 61,495

Given numbers has no common factors except 1. So, there LCM is their product i.e 30195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30195

Therefore, the GCF of Fractions 517/61,309/495 is 1/30195

Least Common Multiple of 61,495 with GCF Formula

Least Common Multiple of 61,495 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 61,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,495) = 1

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

GCF(61,495) x common factors =1 x 1 = 1

LCM(61,495) = ( 61 × 495 ) / 1

LCM(61,495) = 30195 / 1

LCM(61,495) = 30195


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 517/61, 309/495

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 517/61, 309/495?

Answer: GCF of Numerators as per given numbers 517/61, 309/495 is

GCF of Numerators i.e. for 517,309 is 1

LCM of denominators i.e. for 61,495 is 30195.

Thus, GCF of Fractions is 1/30195.Finally, GCF of Fractions for 517/61, 309/495 is 1/30195.