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GCD of 362, 590, 138, 569 Calculator

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


Online GCD Calculator is useful to find the GCD of 362, 590, 138, 569 quickly. Get the easiest ways to solve the greatest common divisor of 362, 590, 138, 569 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 362, 590, 138, 569 with Factoring?

Given Input numbers are 362, 590, 138, 569

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 569 :

The positive integer divisors of 569 that completely divides 569 are.

1, 569


GCD of numbers is the greatest common divisor

So, the GCD (362, 590, 138, 569) = 1.

Find GCD of 362, 590, 138, 569 using Prime Factorization

Given numbers are 362, 590, 138, 569

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 590 are 2 x 5 x 59

Prime factors of 138 are 2 x 3 x 23

Prime factors of 569 are 569

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

Steps to Calculate GCD of 362, 590, 138, 569 using LCM Formula

Given numbers are 362, 590, 138, 569

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

Apply this formula for all numbers.

Step1:

LCM(362, 590) = 106790

GCD(362, 590) = ( 362 x 590 ) / 106790

= 362 / 590

= 362


Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2


Step3:

LCM(2, 569) = 1138

GCD(2, 569) = ( 2 x 569 ) / 1138

= 2 / 569

= 2


So, Greatest Common Divisor of 362, 590, 138, 569 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 362, 590, 138, 569

Given numbers are 362, 590, 138, 569
The greatest common divisor of numbers 362, 590, 138, 569 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 590, 138, 569 is 1.

FAQs on GCD of 362, 590, 138, 569 Calculator

1. What is the GCD of 362, 590, 138, 569?

GCD of given numbers 362, 590, 138, 569 is 1


2. How to calculate the greatest common divisor of 362, 590, 138, 569?

We can find the highest common divisor of 362, 590, 138, 569 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 362, 590, 138, 569 i.e 1.


3. How can I use the GCD of 362, 590, 138, 569Calculator?

Out the numbers 362, 590, 138, 569 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.