GCD of 561, 354, 39, 565 Calculator

Given Input numbers are 561, 354, 39, 565

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 565

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

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 561, 354, 39, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 354, 39, 565 is 1.

Therefore, GCD of numbers 561, 354, 39, 565 is 1

Given Input Data is 561, 354, 39, 565

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 39 is 3 x 13

Prime Factorization of 565 is 5 x 113

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(561, 354) = 66198

GCD(561, 354) = ( 561 x 354 ) / 66198

GCD(561, 354) = 198594 / 66198

GCD(561, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 565

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

LCM(3, 565) = 1695

GCD(3, 565) = ( 3 x 565 ) / 1695

GCD(3, 565) = 1695 / 1695

GCD(3, 565) = 1

GCD of 561, 354, 39, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 361, 54, 792
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• GCD of 850, 316, 30, 750
• GCD of 239, 362, 62, 363
• GCD of 867, 666, 16, 246

1. What is the GCD of 561, 354, 39, 565?

GCD of 561, 354, 39, 565 is 1

2. Where do I get the detailed procedure to find GCD of 561, 354, 39, 565?

You can find a detailed procedure to find GCD of 561, 354, 39, 565 on our page.

3. How to find GCD of 561, 354, 39, 565 on a calculator?

You can find the GCD of 561, 354, 39, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.