GCD of 565, 342, 655, 664 Calculator

Given Input numbers are 565, 342, 655, 664

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 565, 342, 655, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 342, 655, 664 is 1.

Therefore, GCD of numbers 565, 342, 655, 664 is 1

Given Input Data is 565, 342, 655, 664

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 565 is 5 x 113

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 655 is 5 x 131

Prime Factorization of 664 is 2 x 2 x 2 x 83

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(565, 342) = 193230

GCD(565, 342) = ( 565 x 342 ) / 193230

GCD(565, 342) = 193230 / 193230

GCD(565, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 565, 342, 655, 664 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 755, 923, 923
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• GCD of 794, 295, 748, 112
• GCD of 343, 259, 367, 938

1. What is the GCD of 565, 342, 655, 664?

GCD of 565, 342, 655, 664 is 1

2. Where do I get the detailed procedure to find GCD of 565, 342, 655, 664?

You can find a detailed procedure to find GCD of 565, 342, 655, 664 on our page.

3. How to find GCD of 565, 342, 655, 664 on a calculator?

You can find the GCD of 565, 342, 655, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.