Greatest Common Factor of 6582/336, 3351/7862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6582/336, 3351/7862

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 6582/336,3351/7862

Given fractions are 6582/336,3351/7862

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 6582,3351

Greatest Common Factor of Numerators i.e. GCF of 6582,3351 is 3 .

LCM of Denominators means LCM of 336,7862 as per the given fractions.

LCM of 336,7862 is 1320816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6582,3351

GCF of Fractions 6582/336,3351/7862 is 3/1320816

3 6582, 3351
2194, 1117

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6582,3351 By Matching Biggest Common Factor Method

Greatest Common Factor of 6582,3351 By Matching Biggest Common Factor Method

Factors of 6582

List of positive integer factors of 6582 that divides 6582 without a remainder.

1,2,3,6,1097,2194,3291,6582

Factors of 3351

List of positive integer factors of 3351 that divides 3351 without a remainder.

1,3,1117,3351

Greatest Common Factor

We found the factors 6582,3351 . The biggest common factor number is the GCF number.
So the greatest common factor 6582,3351 is 3.

Lets's calculate LCM of 336,7862

2 336, 7862
168, 3931

∴ So the LCM of the given numbers is 2 x 168 x 3931 = 1320816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1320816

Therefore, the GCF of Fractions 6582/336,3351/7862 is 3/1320816

Least Common Multiple of 336,7862 with GCF Formula

Least Common Multiple of 336,7862 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 336,7862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,7862) = 2

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

GCF(336,7862) x common factors =2 x 1 = 2

LCM(336,7862) = ( 336 × 7862 ) / 2

LCM(336,7862) = 2641632 / 2

LCM(336,7862) = 1320816


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 6582/336, 3351/7862

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 6582/336, 3351/7862?

Answer: GCF of Numerators as per given numbers 6582/336, 3351/7862 is

GCF of Numerators i.e. for 6582,3351 is 3

LCM of denominators i.e. for 336,7862 is 1320816.

Thus, GCF of Fractions is 3/1320816.Finally, GCF of Fractions for 6582/336, 3351/7862 is 3/1320816.