Greatest Common Factor of 102/37, 347/30, 338/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 102/37, 347/30, 338/164

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 102/37,347/30,338/164

Given fractions are 102/37,347/30,338/164

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 102,347,338

Greatest Common Factor of Numerators i.e. GCF of 102,347,338 is 1 .

LCM of Denominators means LCM of 37,30,164 as per the given fractions.

LCM of 37,30,164 is 91020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 102,347,338

GCF of Fractions 102/37,347/30,338/164 is 1/91020

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

Greatest Common Factor of 102,347,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,347,338 By Matching Biggest Common Factor Method

Factors of 102

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

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

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 102,347,338 . The biggest common factor number is the GCF number.
So the greatest common factor 102,347,338 is 1.

Lets's calculate LCM of 37,30,164

2 37, 30, 164
37, 15, 82

∴ So the LCM of the given numbers is 2 x 37 x 15 x 82 = 91020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91020

Therefore, the GCF of Fractions 102/37,347/30,338/164 is 1/91020

Least Common Multiple of 37,30,164 with GCF Formula

Least Common Multiple of 37,30,164 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 37,30,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,30,164) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,30,164) x common factors =1 x 2 = 2

LCM(37,30,164) = ( 37 × 30 × 164 ) / 2

LCM(37,30,164) = 182040 / 2

LCM(37,30,164) = 91020


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 102/37, 347/30, 338/164

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 102/37, 347/30, 338/164?

Answer: GCF of Numerators as per given numbers 102/37, 347/30, 338/164 is

GCF of Numerators i.e. for 102,347,338 is 1

LCM of denominators i.e. for 37,30,164 is 91020.

Thus, GCF of Fractions is 1/91020.Finally, GCF of Fractions for 102/37, 347/30, 338/164 is 1/91020.