Greatest Common Factor of 742/69, 805/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/69, 805/594

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 742/69,805/594

Given fractions are 742/69,805/594

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 742,805

Greatest Common Factor of Numerators i.e. GCF of 742,805 is 7 .

LCM of Denominators means LCM of 69,594 as per the given fractions.

LCM of 69,594 is 13662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,805

GCF of Fractions 742/69,805/594 is 7/13662

7 742, 805
106, 115

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 742,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,805 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 742,805 . The biggest common factor number is the GCF number.
So the greatest common factor 742,805 is 7.

Lets's calculate LCM of 69,594

3 69, 594
23, 198

∴ So the LCM of the given numbers is 3 x 23 x 198 = 13662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/13662

Therefore, the GCF of Fractions 742/69,805/594 is 7/13662

Least Common Multiple of 69,594 with GCF Formula

Least Common Multiple of 69,594 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 69,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,594) = 3

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

GCF(69,594) x common factors =3 x 1 = 3

LCM(69,594) = ( 69 × 594 ) / 3

LCM(69,594) = 40986 / 3

LCM(69,594) = 13662


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 742/69, 805/594

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 742/69, 805/594?

Answer: GCF of Numerators as per given numbers 742/69, 805/594 is

GCF of Numerators i.e. for 742,805 is 7

LCM of denominators i.e. for 69,594 is 13662.

Thus, GCF of Fractions is 7/13662.Finally, GCF of Fractions for 742/69, 805/594 is 7/13662.