Greatest Common Factor of 8304/436, 6836/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8304/436, 6836/122

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 8304/436,6836/122

Given fractions are 8304/436,6836/122

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 8304,6836

Greatest Common Factor of Numerators i.e. GCF of 8304,6836 is 4 .

LCM of Denominators means LCM of 436,122 as per the given fractions.

LCM of 436,122 is 26596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8304,6836

GCF of Fractions 8304/436,6836/122 is 4/26596

2 8304, 6836
2 4152, 3418
2076, 1709

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8304,6836 By Matching Biggest Common Factor Method

Greatest Common Factor of 8304,6836 By Matching Biggest Common Factor Method

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304

Factors of 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1,2,4,1709,3418,6836

Greatest Common Factor

We found the factors 8304,6836 . The biggest common factor number is the GCF number.
So the greatest common factor 8304,6836 is 4.

Lets's calculate LCM of 436,122

2 436, 122
218, 61

∴ So the LCM of the given numbers is 2 x 218 x 61 = 26596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/26596

Therefore, the GCF of Fractions 8304/436,6836/122 is 4/26596

Least Common Multiple of 436,122 with GCF Formula

Least Common Multiple of 436,122 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 436,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,122) = 2

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

GCF(436,122) x common factors =2 x 1 = 2

LCM(436,122) = ( 436 × 122 ) / 2

LCM(436,122) = 53192 / 2

LCM(436,122) = 26596


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 8304/436, 6836/122

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 8304/436, 6836/122?

Answer: GCF of Numerators as per given numbers 8304/436, 6836/122 is

GCF of Numerators i.e. for 8304,6836 is 4

LCM of denominators i.e. for 436,122 is 26596.

Thus, GCF of Fractions is 4/26596.Finally, GCF of Fractions for 8304/436, 6836/122 is 4/26596.