Greatest Common Factor of 7339/486, 6419/6324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7339/486, 6419/6324

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 7339/486,6419/6324

Given fractions are 7339/486,6419/6324

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 7339,6419

Greatest Common Factor of Numerators i.e. GCF of 7339,6419 is 1 .

LCM of Denominators means LCM of 486,6324 as per the given fractions.

LCM of 486,6324 is 512244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7339,6419

GCF of Fractions 7339/486,6419/6324 is 1/512244

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

Greatest Common Factor of 7339,6419 By Matching Biggest Common Factor Method

Greatest Common Factor of 7339,6419 By Matching Biggest Common Factor Method

Factors of 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1,41,179,7339

Factors of 6419

List of positive integer factors of 6419 that divides 6419 without a remainder.

1,7,49,131,917,6419

Greatest Common Factor

We found the factors 7339,6419 . The biggest common factor number is the GCF number.
So the greatest common factor 7339,6419 is 1.

Lets's calculate LCM of 486,6324

2 486, 6324
3 243, 3162
81, 1054

∴ So the LCM of the given numbers is 2 x 3 x 81 x 1054 = 512244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512244

Therefore, the GCF of Fractions 7339/486,6419/6324 is 1/512244

Least Common Multiple of 486,6324 with GCF Formula

Least Common Multiple of 486,6324 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 486,6324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,6324) = 6

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

GCF(486,6324) x common factors =6 x 1 = 6

LCM(486,6324) = ( 486 × 6324 ) / 6

LCM(486,6324) = 3073464 / 6

LCM(486,6324) = 512244


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 7339/486, 6419/6324

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 7339/486, 6419/6324?

Answer: GCF of Numerators as per given numbers 7339/486, 6419/6324 is

GCF of Numerators i.e. for 7339,6419 is 1

LCM of denominators i.e. for 486,6324 is 512244.

Thus, GCF of Fractions is 1/512244.Finally, GCF of Fractions for 7339/486, 6419/6324 is 1/512244.