Greatest Common Factor of 406/42, 658/6796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/42, 658/6796

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 406/42,658/6796

Given fractions are 406/42,658/6796

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 406,658

Greatest Common Factor of Numerators i.e. GCF of 406,658 is 14 .

LCM of Denominators means LCM of 42,6796 as per the given fractions.

LCM of 42,6796 is 142716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,658

GCF of Fractions 406/42,658/6796 is 14/142716

2 406, 658
7 203, 329
29, 47

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 406,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,658 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 406,658 . The biggest common factor number is the GCF number.
So the greatest common factor 406,658 is 14.

Lets's calculate LCM of 42,6796

2 42, 6796
21, 3398

∴ So the LCM of the given numbers is 2 x 21 x 3398 = 142716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/142716

Therefore, the GCF of Fractions 406/42,658/6796 is 14/142716

Least Common Multiple of 42,6796 with GCF Formula

Least Common Multiple of 42,6796 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 42,6796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,6796) = 2

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

GCF(42,6796) x common factors =2 x 1 = 2

LCM(42,6796) = ( 42 × 6796 ) / 2

LCM(42,6796) = 285432 / 2

LCM(42,6796) = 142716


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 406/42, 658/6796

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 406/42, 658/6796?

Answer: GCF of Numerators as per given numbers 406/42, 658/6796 is

GCF of Numerators i.e. for 406,658 is 14

LCM of denominators i.e. for 42,6796 is 142716.

Thus, GCF of Fractions is 14/142716.Finally, GCF of Fractions for 406/42, 658/6796 is 14/142716.