Greatest Common Factor of 18/401, 342/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/401, 342/114

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 18/401,342/114

Given fractions are 18/401,342/114

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 18,342

Greatest Common Factor of Numerators i.e. GCF of 18,342 is 18 .

LCM of Denominators means LCM of 401,114 as per the given fractions.

LCM of 401,114 is 45714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,342

GCF of Fractions 18/401,342/114 is 18/45714

2 18, 342
3 9, 171
3 3, 57
1, 19

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 18,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,342 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 18,342 . The biggest common factor number is the GCF number.
So the greatest common factor 18,342 is 18.

Lets's calculate LCM of 401,114

Given numbers has no common factors except 1. So, there LCM is their product i.e 45714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/45714

Therefore, the GCF of Fractions 18/401,342/114 is 18/45714

Least Common Multiple of 401,114 with GCF Formula

Least Common Multiple of 401,114 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 401,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,114) = 1

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

GCF(401,114) x common factors =1 x 1 = 1

LCM(401,114) = ( 401 × 114 ) / 1

LCM(401,114) = 45714 / 1

LCM(401,114) = 45714


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 18/401, 342/114

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 18/401, 342/114?

Answer: GCF of Numerators as per given numbers 18/401, 342/114 is

GCF of Numerators i.e. for 18,342 is 18

LCM of denominators i.e. for 401,114 is 45714.

Thus, GCF of Fractions is 18/45714.Finally, GCF of Fractions for 18/401, 342/114 is 18/45714.