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GCD of 363, 906, 646, 702 Calculator

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


Online GCD Calculator is useful to find the GCD of 363, 906, 646, 702 quickly. Get the easiest ways to solve the greatest common divisor of 363, 906, 646, 702 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 363, 906, 646, 702 with Factoring?

Given Input numbers are 363, 906, 646, 702

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702


GCD of numbers is the greatest common divisor

So, the GCD (363, 906, 646, 702) = 1.

Find GCD of 363, 906, 646, 702 using Prime Factorization

Given numbers are 363, 906, 646, 702

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 906 are 2 x 3 x 151

Prime factors of 646 are 2 x 17 x 19

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 363, 906, 646, 702 using LCM Formula

Given numbers are 363, 906, 646, 702

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

Apply this formula for all numbers.

Step1:

LCM(363, 906) = 109626

GCD(363, 906) = ( 363 x 906 ) / 109626

= 363 / 906

= 363


Step2:

LCM(3, 646) = 1938

GCD(3, 646) = ( 3 x 646 ) / 1938

= 3 / 646

= 3


Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1


So, Greatest Common Divisor of 363, 906, 646, 702 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 363, 906, 646, 702

Given numbers are 363, 906, 646, 702
The greatest common divisor of numbers 363, 906, 646, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 906, 646, 702 is 1.

FAQs on GCD of 363, 906, 646, 702 Calculator

1. What is the GCD of 363, 906, 646, 702?

GCD of given numbers 363, 906, 646, 702 is 1


2. How to calculate the greatest common divisor of 363, 906, 646, 702?

We can find the highest common divisor of 363, 906, 646, 702 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 363, 906, 646, 702 i.e 1.


3. How can I use the GCD of 363, 906, 646, 702Calculator?

Out the numbers 363, 906, 646, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.