Greatest Common Factor of 694/18, 102/4244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/18, 102/4244

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 694/18,102/4244

Given fractions are 694/18,102/4244

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 694,102

Greatest Common Factor of Numerators i.e. GCF of 694,102 is 2 .

LCM of Denominators means LCM of 18,4244 as per the given fractions.

LCM of 18,4244 is 38196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,102

GCF of Fractions 694/18,102/4244 is 2/38196

2 694, 102
347, 51

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

Greatest Common Factor of 694,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,102 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 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 694,102 . The biggest common factor number is the GCF number.
So the greatest common factor 694,102 is 2.

Lets's calculate LCM of 18,4244

2 18, 4244
9, 2122

∴ So the LCM of the given numbers is 2 x 9 x 2122 = 38196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38196

Therefore, the GCF of Fractions 694/18,102/4244 is 2/38196

Least Common Multiple of 18,4244 with GCF Formula

Least Common Multiple of 18,4244 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 18,4244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,4244) = 2

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

GCF(18,4244) x common factors =2 x 1 = 2

LCM(18,4244) = ( 18 × 4244 ) / 2

LCM(18,4244) = 76392 / 2

LCM(18,4244) = 38196


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 694/18, 102/4244

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 694/18, 102/4244?

Answer: GCF of Numerators as per given numbers 694/18, 102/4244 is

GCF of Numerators i.e. for 694,102 is 2

LCM of denominators i.e. for 18,4244 is 38196.

Thus, GCF of Fractions is 2/38196.Finally, GCF of Fractions for 694/18, 102/4244 is 2/38196.