GCD of 61, 361, 354, 566 Calculator

Given Input numbers are 61, 361, 354, 566

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

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 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 61, 361, 354, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 361, 354, 566 is 1.

Therefore, GCD of numbers 61, 361, 354, 566 is 1

Given Input Data is 61, 361, 354, 566

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

Prime Factorization of 61 is 61

Prime Factorization of 361 is 19 x 19

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 566 is 2 x 283

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(61, 361) = 22021

GCD(61, 361) = ( 61 x 361 ) / 22021

GCD(61, 361) = 22021 / 22021

GCD(61, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 61, 361, 354, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 904, 361, 886
• GCD of 49, 705, 130, 785
• GCD of 33, 571, 616, 204
• GCD of 82, 362, 454, 622
• GCD of 60, 649, 534, 288

1. What is the GCD of 61, 361, 354, 566?

GCD of 61, 361, 354, 566 is 1

2. Where do I get the detailed procedure to find GCD of 61, 361, 354, 566?

You can find a detailed procedure to find GCD of 61, 361, 354, 566 on our page.

3. How to find GCD of 61, 361, 354, 566 on a calculator?

You can find the GCD of 61, 361, 354, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.