Greatest Common Factor of 6578/13, 8426/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6578/13, 8426/494

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 6578/13,8426/494

Given fractions are 6578/13,8426/494

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 6578,8426

Greatest Common Factor of Numerators i.e. GCF of 6578,8426 is 22 .

LCM of Denominators means LCM of 13,494 as per the given fractions.

LCM of 13,494 is 494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6578,8426

GCF of Fractions 6578/13,8426/494 is 22/494

2 6578, 8426
11 3289, 4213
299, 383

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 6578,8426 By Matching Biggest Common Factor Method

Greatest Common Factor of 6578,8426 By Matching Biggest Common Factor Method

Factors of 6578

List of positive integer factors of 6578 that divides 6578 without a remainder.

1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578

Factors of 8426

List of positive integer factors of 8426 that divides 8426 without a remainder.

1,2,11,22,383,766,4213,8426

Greatest Common Factor

We found the factors 6578,8426 . The biggest common factor number is the GCF number.
So the greatest common factor 6578,8426 is 22.

Lets's calculate LCM of 13,494

13 13, 494
1, 38

∴ So the LCM of the given numbers is 13 x 1 x 38 = 494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/494

Therefore, the GCF of Fractions 6578/13,8426/494 is 22/494

Least Common Multiple of 13,494 with GCF Formula

Least Common Multiple of 13,494 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 13,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,494) = 13

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

GCF(13,494) x common factors =13 x 1 = 13

LCM(13,494) = ( 13 × 494 ) / 13

LCM(13,494) = 6422 / 13

LCM(13,494) = 494


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 6578/13, 8426/494

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 6578/13, 8426/494?

Answer: GCF of Numerators as per given numbers 6578/13, 8426/494 is

GCF of Numerators i.e. for 6578,8426 is 22

LCM of denominators i.e. for 13,494 is 494.

Thus, GCF of Fractions is 22/494.Finally, GCF of Fractions for 6578/13, 8426/494 is 22/494.