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GCD of 369, 378, 617, 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 369, 378, 617, 642 quickly. Get the easiest ways to solve the greatest common divisor of 369, 378, 617, 642 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 378, 617, 642 with Factoring?

Given Input numbers are 369, 378, 617, 642

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

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 (369, 378, 617, 642) = 1.

Find GCD of 369, 378, 617, 642 using Prime Factorization

Given numbers are 369, 378, 617, 642

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 617 are 617

Prime factors of 642 are 2 x 3 x 107

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

Steps to Calculate GCD of 369, 378, 617, 642 using LCM Formula

Given numbers are 369, 378, 617, 642

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

Apply this formula for all numbers.

Step1:

LCM(369, 378) = 15498

GCD(369, 378) = ( 369 x 378 ) / 15498

= 369 / 378

= 369


Step2:

LCM(9, 617) = 5553

GCD(9, 617) = ( 9 x 617 ) / 5553

= 9 / 617

= 9


Step3:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1


So, Greatest Common Divisor of 369, 378, 617, 642 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 378, 617, 642

Given numbers are 369, 378, 617, 642
The greatest common divisor of numbers 369, 378, 617, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 378, 617, 642 is 1.

FAQs on GCD of 369, 378, 617, 642 Calculator

1. What is the GCD of 369, 378, 617, 642?

GCD of given numbers 369, 378, 617, 642 is 1


2. How to calculate the greatest common divisor of 369, 378, 617, 642?

We can find the highest common divisor of 369, 378, 617, 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 369, 378, 617, 642 i.e 1.


3. How can I use the GCD of 369, 378, 617, 642Calculator?

Out the numbers 369, 378, 617, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.