Greatest Common Factor of 6209/346, 1023/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6209/346, 1023/842

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 6209/346,1023/842

Given fractions are 6209/346,1023/842

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 6209,1023

Greatest Common Factor of Numerators i.e. GCF of 6209,1023 is 1 .

LCM of Denominators means LCM of 346,842 as per the given fractions.

LCM of 346,842 is 145666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6209,1023

GCF of Fractions 6209/346,1023/842 is 1/145666

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

Greatest Common Factor of 6209,1023 By Matching Biggest Common Factor Method

Greatest Common Factor of 6209,1023 By Matching Biggest Common Factor Method

Factors of 6209

List of positive integer factors of 6209 that divides 6209 without a remainder.

1,7,887,6209

Factors of 1023

List of positive integer factors of 1023 that divides 1023 without a remainder.

1,3,11,31,33,93,341,1023

Greatest Common Factor

We found the factors 6209,1023 . The biggest common factor number is the GCF number.
So the greatest common factor 6209,1023 is 1.

Lets's calculate LCM of 346,842

2 346, 842
173, 421

∴ So the LCM of the given numbers is 2 x 173 x 421 = 145666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145666

Therefore, the GCF of Fractions 6209/346,1023/842 is 1/145666

Least Common Multiple of 346,842 with GCF Formula

Least Common Multiple of 346,842 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 346,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,842) = 2

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

GCF(346,842) x common factors =2 x 1 = 2

LCM(346,842) = ( 346 × 842 ) / 2

LCM(346,842) = 291332 / 2

LCM(346,842) = 145666


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 6209/346, 1023/842

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 6209/346, 1023/842?

Answer: GCF of Numerators as per given numbers 6209/346, 1023/842 is

GCF of Numerators i.e. for 6209,1023 is 1

LCM of denominators i.e. for 346,842 is 145666.

Thus, GCF of Fractions is 1/145666.Finally, GCF of Fractions for 6209/346, 1023/842 is 1/145666.