Greatest Common Factor of 331/678, 406/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 331/678, 406/188

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 331/678,406/188

Given fractions are 331/678,406/188

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 331,406

Greatest Common Factor of Numerators i.e. GCF of 331,406 is 1 .

LCM of Denominators means LCM of 678,188 as per the given fractions.

LCM of 678,188 is 63732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 331,406

GCF of Fractions 331/678,406/188 is 1/63732

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

Greatest Common Factor of 331,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,406 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 331,406 . The biggest common factor number is the GCF number.
So the greatest common factor 331,406 is 1.

Lets's calculate LCM of 678,188

2 678, 188
339, 94

∴ So the LCM of the given numbers is 2 x 339 x 94 = 63732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63732

Therefore, the GCF of Fractions 331/678,406/188 is 1/63732

Least Common Multiple of 678,188 with GCF Formula

Least Common Multiple of 678,188 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 678,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,188) = 2

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

GCF(678,188) x common factors =2 x 1 = 2

LCM(678,188) = ( 678 × 188 ) / 2

LCM(678,188) = 127464 / 2

LCM(678,188) = 63732


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 331/678, 406/188

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 331/678, 406/188?

Answer: GCF of Numerators as per given numbers 331/678, 406/188 is

GCF of Numerators i.e. for 331,406 is 1

LCM of denominators i.e. for 678,188 is 63732.

Thus, GCF of Fractions is 1/63732.Finally, GCF of Fractions for 331/678, 406/188 is 1/63732.