Greatest Common Factor of 6401/344, 1842/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6401/344, 1842/626

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 6401/344,1842/626

Given fractions are 6401/344,1842/626

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 6401,1842

Greatest Common Factor of Numerators i.e. GCF of 6401,1842 is 1 .

LCM of Denominators means LCM of 344,626 as per the given fractions.

LCM of 344,626 is 107672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6401,1842

GCF of Fractions 6401/344,1842/626 is 1/107672

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

Greatest Common Factor of 6401,1842 By Matching Biggest Common Factor Method

Greatest Common Factor of 6401,1842 By Matching Biggest Common Factor Method

Factors of 6401

List of positive integer factors of 6401 that divides 6401 without a remainder.

1,37,173,6401

Factors of 1842

List of positive integer factors of 1842 that divides 1842 without a remainder.

1,2,3,6,307,614,921,1842

Greatest Common Factor

We found the factors 6401,1842 . The biggest common factor number is the GCF number.
So the greatest common factor 6401,1842 is 1.

Lets's calculate LCM of 344,626

2 344, 626
172, 313

∴ So the LCM of the given numbers is 2 x 172 x 313 = 107672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107672

Therefore, the GCF of Fractions 6401/344,1842/626 is 1/107672

Least Common Multiple of 344,626 with GCF Formula

Least Common Multiple of 344,626 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 344,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,626) = 2

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

GCF(344,626) x common factors =2 x 1 = 2

LCM(344,626) = ( 344 × 626 ) / 2

LCM(344,626) = 215344 / 2

LCM(344,626) = 107672


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 6401/344, 1842/626

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 6401/344, 1842/626?

Answer: GCF of Numerators as per given numbers 6401/344, 1842/626 is

GCF of Numerators i.e. for 6401,1842 is 1

LCM of denominators i.e. for 344,626 is 107672.

Thus, GCF of Fractions is 1/107672.Finally, GCF of Fractions for 6401/344, 1842/626 is 1/107672.