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GCD of 726, 602, 642 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 726, 602, 642 quickly. Get the easiest ways to solve the greatest common divisor of 726, 602, 642 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 726, 602, 642 with Factoring?

Given Input numbers are 726, 602, 642

In the factoring method, we have to find the divisors of all numbers

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

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

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642


GCD of numbers is the greatest common divisor

So, the GCD (726, 602, 642) = 2.

Find GCD of 726, 602, 642 using Prime Factorization

Given numbers are 726, 602, 642

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 602 are 2 x 7 x 43

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 21

Therefore, GCD of 726, 602, 642 is 2.

Steps to Calculate GCD of 726, 602, 642 using LCM Formula

Given numbers are 726, 602, 642

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(726, 602) = 218526

GCD(726, 602) = ( 726 x 602 ) / 218526

= 726 / 602

= 726


Step2:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2


So, Greatest Common Divisor of 726, 602, 642 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 726, 602, 642

Given numbers are 726, 602, 642
The greatest common divisor of numbers 726, 602, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 602, 642 is 2.

FAQs on GCD of 726, 602, 642 Calculator

1. What is the GCD of 726, 602, 642?

GCD of given numbers 726, 602, 642 is 2


2. How to calculate the greatest common divisor of 726, 602, 642?

We can find the highest common divisor of 726, 602, 642 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 726, 602, 642 i.e 2.


3. How can I use the GCD of 726, 602, 642Calculator?

Out the numbers 726, 602, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.