Greatest Common Factor of 342/112, 421/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 342/112, 421/178

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 342/112,421/178

Given fractions are 342/112,421/178

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 342,421

Greatest Common Factor of Numerators i.e. GCF of 342,421 is 1 .

LCM of Denominators means LCM of 112,178 as per the given fractions.

LCM of 112,178 is 9968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 342,421

GCF of Fractions 342/112,421/178 is 1/9968

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

Greatest Common Factor of 342,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,421 By Matching Biggest Common Factor Method

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

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 342,421 . The biggest common factor number is the GCF number.
So the greatest common factor 342,421 is 1.

Lets's calculate LCM of 112,178

2 112, 178
56, 89

∴ So the LCM of the given numbers is 2 x 56 x 89 = 9968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9968

Therefore, the GCF of Fractions 342/112,421/178 is 1/9968

Least Common Multiple of 112,178 with GCF Formula

Least Common Multiple of 112,178 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 112,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,178) = 2

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

GCF(112,178) x common factors =2 x 1 = 2

LCM(112,178) = ( 112 × 178 ) / 2

LCM(112,178) = 19936 / 2

LCM(112,178) = 9968


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 342/112, 421/178

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 342/112, 421/178?

Answer: GCF of Numerators as per given numbers 342/112, 421/178 is

GCF of Numerators i.e. for 342,421 is 1

LCM of denominators i.e. for 112,178 is 9968.

Thus, GCF of Fractions is 1/9968.Finally, GCF of Fractions for 342/112, 421/178 is 1/9968.