Greatest Common Factor of 6393/409, 9371/7374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6393/409, 9371/7374

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 6393/409,9371/7374

Given fractions are 6393/409,9371/7374

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 6393,9371

Greatest Common Factor of Numerators i.e. GCF of 6393,9371 is 1 .

LCM of Denominators means LCM of 409,7374 as per the given fractions.

LCM of 409,7374 is 3015966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6393,9371

GCF of Fractions 6393/409,9371/7374 is 1/3015966

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

Greatest Common Factor of 6393,9371 By Matching Biggest Common Factor Method

Greatest Common Factor of 6393,9371 By Matching Biggest Common Factor Method

Factors of 6393

List of positive integer factors of 6393 that divides 6393 without a remainder.

1,3,2131,6393

Factors of 9371

List of positive integer factors of 9371 that divides 9371 without a remainder.

1,9371

Greatest Common Factor

We found the factors 6393,9371 . The biggest common factor number is the GCF number.
So the greatest common factor 6393,9371 is 1.

Lets's calculate LCM of 409,7374

Given numbers has no common factors except 1. So, there LCM is their product i.e 3015966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3015966

Therefore, the GCF of Fractions 6393/409,9371/7374 is 1/3015966

Least Common Multiple of 409,7374 with GCF Formula

Least Common Multiple of 409,7374 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 409,7374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,7374) = 1

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

GCF(409,7374) x common factors =1 x 1 = 1

LCM(409,7374) = ( 409 × 7374 ) / 1

LCM(409,7374) = 3015966 / 1

LCM(409,7374) = 3015966


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 6393/409, 9371/7374

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 6393/409, 9371/7374?

Answer: GCF of Numerators as per given numbers 6393/409, 9371/7374 is

GCF of Numerators i.e. for 6393,9371 is 1

LCM of denominators i.e. for 409,7374 is 3015966.

Thus, GCF of Fractions is 1/3015966.Finally, GCF of Fractions for 6393/409, 9371/7374 is 1/3015966.