Greatest Common Factor of 328/970, 2381/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/970, 2381/667

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 328/970,2381/667

Given fractions are 328/970,2381/667

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 328,2381

Greatest Common Factor of Numerators i.e. GCF of 328,2381 is 1 .

LCM of Denominators means LCM of 970,667 as per the given fractions.

LCM of 970,667 is 646990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,2381

GCF of Fractions 328/970,2381/667 is 1/646990

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

Greatest Common Factor of 328,2381 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,2381 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 2381

List of positive integer factors of 2381 that divides 2381 without a remainder.

1,2381

Greatest Common Factor

We found the factors 328,2381 . The biggest common factor number is the GCF number.
So the greatest common factor 328,2381 is 1.

Lets's calculate LCM of 970,667

Given numbers has no common factors except 1. So, there LCM is their product i.e 646990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/646990

Therefore, the GCF of Fractions 328/970,2381/667 is 1/646990

Least Common Multiple of 970,667 with GCF Formula

Least Common Multiple of 970,667 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 970,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,667) = 1

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

GCF(970,667) x common factors =1 x 1 = 1

LCM(970,667) = ( 970 × 667 ) / 1

LCM(970,667) = 646990 / 1

LCM(970,667) = 646990


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 328/970, 2381/667

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 328/970, 2381/667?

Answer: GCF of Numerators as per given numbers 328/970, 2381/667 is

GCF of Numerators i.e. for 328,2381 is 1

LCM of denominators i.e. for 970,667 is 646990.

Thus, GCF of Fractions is 1/646990.Finally, GCF of Fractions for 328/970, 2381/667 is 1/646990.