Greatest Common Factor of 1997/418, 7719/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1997/418, 7719/492

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 1997/418,7719/492

Given fractions are 1997/418,7719/492

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 1997,7719

Greatest Common Factor of Numerators i.e. GCF of 1997,7719 is 1 .

LCM of Denominators means LCM of 418,492 as per the given fractions.

LCM of 418,492 is 102828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1997,7719

GCF of Fractions 1997/418,7719/492 is 1/102828

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

Greatest Common Factor of 1997,7719 By Matching Biggest Common Factor Method

Greatest Common Factor of 1997,7719 By Matching Biggest Common Factor Method

Factors of 1997

List of positive integer factors of 1997 that divides 1997 without a remainder.

1,1997

Factors of 7719

List of positive integer factors of 7719 that divides 7719 without a remainder.

1,3,31,83,93,249,2573,7719

Greatest Common Factor

We found the factors 1997,7719 . The biggest common factor number is the GCF number.
So the greatest common factor 1997,7719 is 1.

Lets's calculate LCM of 418,492

2 418, 492
209, 246

∴ So the LCM of the given numbers is 2 x 209 x 246 = 102828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102828

Therefore, the GCF of Fractions 1997/418,7719/492 is 1/102828

Least Common Multiple of 418,492 with GCF Formula

Least Common Multiple of 418,492 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 418,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,492) = 2

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

GCF(418,492) x common factors =2 x 1 = 2

LCM(418,492) = ( 418 × 492 ) / 2

LCM(418,492) = 205656 / 2

LCM(418,492) = 102828


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 1997/418, 7719/492

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 1997/418, 7719/492?

Answer: GCF of Numerators as per given numbers 1997/418, 7719/492 is

GCF of Numerators i.e. for 1997,7719 is 1

LCM of denominators i.e. for 418,492 is 102828.

Thus, GCF of Fractions is 1/102828.Finally, GCF of Fractions for 1997/418, 7719/492 is 1/102828.