Greatest Common Factor of 6659/310, 8362/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6659/310, 8362/404

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 6659/310,8362/404

Given fractions are 6659/310,8362/404

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 6659,8362

Greatest Common Factor of Numerators i.e. GCF of 6659,8362 is 1 .

LCM of Denominators means LCM of 310,404 as per the given fractions.

LCM of 310,404 is 62620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6659,8362

GCF of Fractions 6659/310,8362/404 is 1/62620

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

Greatest Common Factor of 6659,8362 By Matching Biggest Common Factor Method

Greatest Common Factor of 6659,8362 By Matching Biggest Common Factor Method

Factors of 6659

List of positive integer factors of 6659 that divides 6659 without a remainder.

1,6659

Factors of 8362

List of positive integer factors of 8362 that divides 8362 without a remainder.

1,2,37,74,113,226,4181,8362

Greatest Common Factor

We found the factors 6659,8362 . The biggest common factor number is the GCF number.
So the greatest common factor 6659,8362 is 1.

Lets's calculate LCM of 310,404

2 310, 404
155, 202

∴ So the LCM of the given numbers is 2 x 155 x 202 = 62620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62620

Therefore, the GCF of Fractions 6659/310,8362/404 is 1/62620

Least Common Multiple of 310,404 with GCF Formula

Least Common Multiple of 310,404 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 310,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,404) = 2

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

GCF(310,404) x common factors =2 x 1 = 2

LCM(310,404) = ( 310 × 404 ) / 2

LCM(310,404) = 125240 / 2

LCM(310,404) = 62620


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 6659/310, 8362/404

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 6659/310, 8362/404?

Answer: GCF of Numerators as per given numbers 6659/310, 8362/404 is

GCF of Numerators i.e. for 6659,8362 is 1

LCM of denominators i.e. for 310,404 is 62620.

Thus, GCF of Fractions is 1/62620.Finally, GCF of Fractions for 6659/310, 8362/404 is 1/62620.