Greatest Common Factor of 3716/31, 2717/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3716/31, 2717/498

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 3716/31,2717/498

Given fractions are 3716/31,2717/498

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 3716,2717

Greatest Common Factor of Numerators i.e. GCF of 3716,2717 is 1 .

LCM of Denominators means LCM of 31,498 as per the given fractions.

LCM of 31,498 is 15438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3716,2717

GCF of Fractions 3716/31,2717/498 is 1/15438

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

Greatest Common Factor of 3716,2717 By Matching Biggest Common Factor Method

Greatest Common Factor of 3716,2717 By Matching Biggest Common Factor Method

Factors of 3716

List of positive integer factors of 3716 that divides 3716 without a remainder.

1,2,4,929,1858,3716

Factors of 2717

List of positive integer factors of 2717 that divides 2717 without a remainder.

1,11,13,19,143,209,247,2717

Greatest Common Factor

We found the factors 3716,2717 . The biggest common factor number is the GCF number.
So the greatest common factor 3716,2717 is 1.

Lets's calculate LCM of 31,498

Given numbers has no common factors except 1. So, there LCM is their product i.e 15438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15438

Therefore, the GCF of Fractions 3716/31,2717/498 is 1/15438

Least Common Multiple of 31,498 with GCF Formula

Least Common Multiple of 31,498 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 31,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,498) = 1

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

GCF(31,498) x common factors =1 x 1 = 1

LCM(31,498) = ( 31 × 498 ) / 1

LCM(31,498) = 15438 / 1

LCM(31,498) = 15438


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 3716/31, 2717/498

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 3716/31, 2717/498?

Answer: GCF of Numerators as per given numbers 3716/31, 2717/498 is

GCF of Numerators i.e. for 3716,2717 is 1

LCM of denominators i.e. for 31,498 is 15438.

Thus, GCF of Fractions is 1/15438.Finally, GCF of Fractions for 3716/31, 2717/498 is 1/15438.