Greatest Common Factor of 71/72, 12/13, 804/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/72, 12/13, 804/812

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 71/72,12/13,804/812

Given fractions are 71/72,12/13,804/812

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 71,12,804

Greatest Common Factor of Numerators i.e. GCF of 71,12,804 is 1 .

LCM of Denominators means LCM of 72,13,812 as per the given fractions.

LCM of 72,13,812 is 190008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,12,804

GCF of Fractions 71/72,12/13,804/812 is 1/190008

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

Greatest Common Factor of 71,12,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,12,804 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 71,12,804 . The biggest common factor number is the GCF number.
So the greatest common factor 71,12,804 is 1.

Lets's calculate LCM of 72,13,812

2 72, 13, 812
2 36, 13, 406
18, 13, 203

∴ So the LCM of the given numbers is 2 x 2 x 18 x 13 x 203 = 190008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190008

Therefore, the GCF of Fractions 71/72,12/13,804/812 is 1/190008

Least Common Multiple of 72,13,812 with GCF Formula

Least Common Multiple of 72,13,812 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 72,13,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,13,812) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(72,13,812) x common factors =1 x 4 = 4

LCM(72,13,812) = ( 72 × 13 × 812 ) / 4

LCM(72,13,812) = 760032 / 4

LCM(72,13,812) = 190008


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 71/72, 12/13, 804/812

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 71/72, 12/13, 804/812?

Answer: GCF of Numerators as per given numbers 71/72, 12/13, 804/812 is

GCF of Numerators i.e. for 71,12,804 is 1

LCM of denominators i.e. for 72,13,812 is 190008.

Thus, GCF of Fractions is 1/190008.Finally, GCF of Fractions for 71/72, 12/13, 804/812 is 1/190008.