Greatest Common Factor of 397/320, 995/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 397/320, 995/677

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 397/320,995/677

Given fractions are 397/320,995/677

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 397,995

Greatest Common Factor of Numerators i.e. GCF of 397,995 is 1 .

LCM of Denominators means LCM of 320,677 as per the given fractions.

LCM of 320,677 is 216640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 397,995

GCF of Fractions 397/320,995/677 is 1/216640

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

Greatest Common Factor of 397,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,995 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 397,995 . The biggest common factor number is the GCF number.
So the greatest common factor 397,995 is 1.

Lets's calculate LCM of 320,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 216640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216640

Therefore, the GCF of Fractions 397/320,995/677 is 1/216640

Least Common Multiple of 320,677 with GCF Formula

Least Common Multiple of 320,677 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 320,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,677) = 1

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

GCF(320,677) x common factors =1 x 1 = 1

LCM(320,677) = ( 320 × 677 ) / 1

LCM(320,677) = 216640 / 1

LCM(320,677) = 216640


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 397/320, 995/677

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 397/320, 995/677?

Answer: GCF of Numerators as per given numbers 397/320, 995/677 is

GCF of Numerators i.e. for 397,995 is 1

LCM of denominators i.e. for 320,677 is 216640.

Thus, GCF of Fractions is 1/216640.Finally, GCF of Fractions for 397/320, 995/677 is 1/216640.