Greatest Common Factor of 178/2113, 342/4547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 178/2113, 342/4547

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 178/2113,342/4547

Given fractions are 178/2113,342/4547

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 178,342

Greatest Common Factor of Numerators i.e. GCF of 178,342 is 2 .

LCM of Denominators means LCM of 2113,4547 as per the given fractions.

LCM of 2113,4547 is 9607811 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 178,342

GCF of Fractions 178/2113,342/4547 is 2/9607811

2 178, 342
89, 171

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

Greatest Common Factor of 178,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,342 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

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 178,342 . The biggest common factor number is the GCF number.
So the greatest common factor 178,342 is 2.

Lets's calculate LCM of 2113,4547

Given numbers has no common factors except 1. So, there LCM is their product i.e 9607811

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9607811

Therefore, the GCF of Fractions 178/2113,342/4547 is 2/9607811

Least Common Multiple of 2113,4547 with GCF Formula

Least Common Multiple of 2113,4547 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 2113,4547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2113,4547) = 1

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

GCF(2113,4547) x common factors =1 x 1 = 1

LCM(2113,4547) = ( 2113 × 4547 ) / 1

LCM(2113,4547) = 9607811 / 1

LCM(2113,4547) = 9607811


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 178/2113, 342/4547

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 178/2113, 342/4547?

Answer: GCF of Numerators as per given numbers 178/2113, 342/4547 is

GCF of Numerators i.e. for 178,342 is 2

LCM of denominators i.e. for 2113,4547 is 9607811.

Thus, GCF of Fractions is 2/9607811.Finally, GCF of Fractions for 178/2113, 342/4547 is 2/9607811.