Greatest Common Factor of 3307/31, 8597/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3307/31, 8597/720

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 3307/31,8597/720

Given fractions are 3307/31,8597/720

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 3307,8597

Greatest Common Factor of Numerators i.e. GCF of 3307,8597 is 1 .

LCM of Denominators means LCM of 31,720 as per the given fractions.

LCM of 31,720 is 22320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3307,8597

GCF of Fractions 3307/31,8597/720 is 1/22320

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

Greatest Common Factor of 3307,8597 By Matching Biggest Common Factor Method

Greatest Common Factor of 3307,8597 By Matching Biggest Common Factor Method

Factors of 3307

List of positive integer factors of 3307 that divides 3307 without a remainder.

1,3307

Factors of 8597

List of positive integer factors of 8597 that divides 8597 without a remainder.

1,8597

Greatest Common Factor

We found the factors 3307,8597 . The biggest common factor number is the GCF number.
So the greatest common factor 3307,8597 is 1.

Lets's calculate LCM of 31,720

Given numbers has no common factors except 1. So, there LCM is their product i.e 22320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22320

Therefore, the GCF of Fractions 3307/31,8597/720 is 1/22320

Least Common Multiple of 31,720 with GCF Formula

Least Common Multiple of 31,720 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 31,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,720) = 1

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

GCF(31,720) x common factors =1 x 1 = 1

LCM(31,720) = ( 31 × 720 ) / 1

LCM(31,720) = 22320 / 1

LCM(31,720) = 22320


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 3307/31, 8597/720

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 3307/31, 8597/720?

Answer: GCF of Numerators as per given numbers 3307/31, 8597/720 is

GCF of Numerators i.e. for 3307,8597 is 1

LCM of denominators i.e. for 31,720 is 22320.

Thus, GCF of Fractions is 1/22320.Finally, GCF of Fractions for 3307/31, 8597/720 is 1/22320.