Greatest Common Factor of 73/64, 10/29, 804/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/64, 10/29, 804/822

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 73/64,10/29,804/822

Given fractions are 73/64,10/29,804/822

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 73,10,804

Greatest Common Factor of Numerators i.e. GCF of 73,10,804 is 1 .

LCM of Denominators means LCM of 64,29,822 as per the given fractions.

LCM of 64,29,822 is 762816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,10,804

GCF of Fractions 73/64,10/29,804/822 is 1/762816

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

Greatest Common Factor of 73,10,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,10,804 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

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 73,10,804 . The biggest common factor number is the GCF number.
So the greatest common factor 73,10,804 is 1.

Lets's calculate LCM of 64,29,822

2 64, 29, 822
32, 29, 411

∴ So the LCM of the given numbers is 2 x 32 x 29 x 411 = 762816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762816

Therefore, the GCF of Fractions 73/64,10/29,804/822 is 1/762816

Least Common Multiple of 64,29,822 with GCF Formula

Least Common Multiple of 64,29,822 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 64,29,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,29,822) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,29,822) x common factors =1 x 2 = 2

LCM(64,29,822) = ( 64 × 29 × 822 ) / 2

LCM(64,29,822) = 1525632 / 2

LCM(64,29,822) = 762816


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 73/64, 10/29, 804/822

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 73/64, 10/29, 804/822?

Answer: GCF of Numerators as per given numbers 73/64, 10/29, 804/822 is

GCF of Numerators i.e. for 73,10,804 is 1

LCM of denominators i.e. for 64,29,822 is 762816.

Thus, GCF of Fractions is 1/762816.Finally, GCF of Fractions for 73/64, 10/29, 804/822 is 1/762816.