Greatest Common Factor of 2998/687, 6718/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2998/687, 6718/747

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 2998/687,6718/747

Given fractions are 2998/687,6718/747

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 2998,6718

Greatest Common Factor of Numerators i.e. GCF of 2998,6718 is 2 .

LCM of Denominators means LCM of 687,747 as per the given fractions.

LCM of 687,747 is 171063 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2998,6718

GCF of Fractions 2998/687,6718/747 is 2/171063

2 2998, 6718
1499, 3359

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2998,6718 By Matching Biggest Common Factor Method

Greatest Common Factor of 2998,6718 By Matching Biggest Common Factor Method

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1,2,1499,2998

Factors of 6718

List of positive integer factors of 6718 that divides 6718 without a remainder.

1,2,3359,6718

Greatest Common Factor

We found the factors 2998,6718 . The biggest common factor number is the GCF number.
So the greatest common factor 2998,6718 is 2.

Lets's calculate LCM of 687,747

3 687, 747
229, 249

∴ So the LCM of the given numbers is 3 x 229 x 249 = 171063

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171063

Therefore, the GCF of Fractions 2998/687,6718/747 is 2/171063

Least Common Multiple of 687,747 with GCF Formula

Least Common Multiple of 687,747 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 687,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,747) = 3

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

GCF(687,747) x common factors =3 x 1 = 3

LCM(687,747) = ( 687 × 747 ) / 3

LCM(687,747) = 513189 / 3

LCM(687,747) = 171063


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 2998/687, 6718/747

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 2998/687, 6718/747?

Answer: GCF of Numerators as per given numbers 2998/687, 6718/747 is

GCF of Numerators i.e. for 2998,6718 is 2

LCM of denominators i.e. for 687,747 is 171063.

Thus, GCF of Fractions is 2/171063.Finally, GCF of Fractions for 2998/687, 6718/747 is 2/171063.