Greatest Common Factor of 615/20, 9997/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/20, 9997/307

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 615/20,9997/307

Given fractions are 615/20,9997/307

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 615,9997

Greatest Common Factor of Numerators i.e. GCF of 615,9997 is 1 .

LCM of Denominators means LCM of 20,307 as per the given fractions.

LCM of 20,307 is 6140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,9997

GCF of Fractions 615/20,9997/307 is 1/6140

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

Greatest Common Factor of 615,9997 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,9997 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 9997

List of positive integer factors of 9997 that divides 9997 without a remainder.

1,13,769,9997

Greatest Common Factor

We found the factors 615,9997 . The biggest common factor number is the GCF number.
So the greatest common factor 615,9997 is 1.

Lets's calculate LCM of 20,307

Given numbers has no common factors except 1. So, there LCM is their product i.e 6140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6140

Therefore, the GCF of Fractions 615/20,9997/307 is 1/6140

Least Common Multiple of 20,307 with GCF Formula

Least Common Multiple of 20,307 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 20,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,307) = 1

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

GCF(20,307) x common factors =1 x 1 = 1

LCM(20,307) = ( 20 × 307 ) / 1

LCM(20,307) = 6140 / 1

LCM(20,307) = 6140


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 615/20, 9997/307

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 615/20, 9997/307?

Answer: GCF of Numerators as per given numbers 615/20, 9997/307 is

GCF of Numerators i.e. for 615,9997 is 1

LCM of denominators i.e. for 20,307 is 6140.

Thus, GCF of Fractions is 1/6140.Finally, GCF of Fractions for 615/20, 9997/307 is 1/6140.