Greatest Common Factor of 726/602, 165/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/602, 165/162

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 726/602,165/162

Given fractions are 726/602,165/162

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 726,165

Greatest Common Factor of Numerators i.e. GCF of 726,165 is 33 .

LCM of Denominators means LCM of 602,162 as per the given fractions.

LCM of 602,162 is 48762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,165

GCF of Fractions 726/602,165/162 is 33/48762

3 726, 165
11 242, 55
22, 5

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 726,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,165 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 726,165 . The biggest common factor number is the GCF number.
So the greatest common factor 726,165 is 33.

Lets's calculate LCM of 602,162

2 602, 162
301, 81

∴ So the LCM of the given numbers is 2 x 301 x 81 = 48762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/48762

Therefore, the GCF of Fractions 726/602,165/162 is 33/48762

Least Common Multiple of 602,162 with GCF Formula

Least Common Multiple of 602,162 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 602,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,162) = 2

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

GCF(602,162) x common factors =2 x 1 = 2

LCM(602,162) = ( 602 × 162 ) / 2

LCM(602,162) = 97524 / 2

LCM(602,162) = 48762


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 726/602, 165/162

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 726/602, 165/162?

Answer: GCF of Numerators as per given numbers 726/602, 165/162 is

GCF of Numerators i.e. for 726,165 is 33

LCM of denominators i.e. for 602,162 is 48762.

Thus, GCF of Fractions is 33/48762.Finally, GCF of Fractions for 726/602, 165/162 is 33/48762.