Greatest Common Factor of 8213/72, 6768/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8213/72, 6768/372

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 8213/72,6768/372

Given fractions are 8213/72,6768/372

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 8213,6768

Greatest Common Factor of Numerators i.e. GCF of 8213,6768 is 1 .

LCM of Denominators means LCM of 72,372 as per the given fractions.

LCM of 72,372 is 2232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8213,6768

GCF of Fractions 8213/72,6768/372 is 1/2232

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

Greatest Common Factor of 8213,6768 By Matching Biggest Common Factor Method

Greatest Common Factor of 8213,6768 By Matching Biggest Common Factor Method

Factors of 8213

List of positive integer factors of 8213 that divides 8213 without a remainder.

1,43,191,8213

Factors of 6768

List of positive integer factors of 6768 that divides 6768 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768

Greatest Common Factor

We found the factors 8213,6768 . The biggest common factor number is the GCF number.
So the greatest common factor 8213,6768 is 1.

Lets's calculate LCM of 72,372

2 72, 372
2 36, 186
3 18, 93
6, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 31 = 2232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2232

Therefore, the GCF of Fractions 8213/72,6768/372 is 1/2232

Least Common Multiple of 72,372 with GCF Formula

Least Common Multiple of 72,372 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 72,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,372) = 12

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

GCF(72,372) x common factors =12 x 1 = 12

LCM(72,372) = ( 72 × 372 ) / 12

LCM(72,372) = 26784 / 12

LCM(72,372) = 2232


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 8213/72, 6768/372

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 8213/72, 6768/372?

Answer: GCF of Numerators as per given numbers 8213/72, 6768/372 is

GCF of Numerators i.e. for 8213,6768 is 1

LCM of denominators i.e. for 72,372 is 2232.

Thus, GCF of Fractions is 1/2232.Finally, GCF of Fractions for 8213/72, 6768/372 is 1/2232.