Greatest Common Factor of 694/468, 9987/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/468, 9987/218

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 694/468,9987/218

Given fractions are 694/468,9987/218

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 694,9987

Greatest Common Factor of Numerators i.e. GCF of 694,9987 is 1 .

LCM of Denominators means LCM of 468,218 as per the given fractions.

LCM of 468,218 is 51012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,9987

GCF of Fractions 694/468,9987/218 is 1/51012

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

Greatest Common Factor of 694,9987 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,9987 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 9987

List of positive integer factors of 9987 that divides 9987 without a remainder.

1,3,3329,9987

Greatest Common Factor

We found the factors 694,9987 . The biggest common factor number is the GCF number.
So the greatest common factor 694,9987 is 1.

Lets's calculate LCM of 468,218

2 468, 218
234, 109

∴ So the LCM of the given numbers is 2 x 234 x 109 = 51012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51012

Therefore, the GCF of Fractions 694/468,9987/218 is 1/51012

Least Common Multiple of 468,218 with GCF Formula

Least Common Multiple of 468,218 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 468,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,218) = 2

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

GCF(468,218) x common factors =2 x 1 = 2

LCM(468,218) = ( 468 × 218 ) / 2

LCM(468,218) = 102024 / 2

LCM(468,218) = 51012


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 694/468, 9987/218

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 694/468, 9987/218?

Answer: GCF of Numerators as per given numbers 694/468, 9987/218 is

GCF of Numerators i.e. for 694,9987 is 1

LCM of denominators i.e. for 468,218 is 51012.

Thus, GCF of Fractions is 1/51012.Finally, GCF of Fractions for 694/468, 9987/218 is 1/51012.