GCD of 272, 566, 365, 465 Calculator

Given Input numbers are 272, 566, 365, 465

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 566

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

1, 2, 283, 566

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 272, 566, 365, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 566, 365, 465 is 1.

Therefore, GCD of numbers 272, 566, 365, 465 is 1

Given Input Data is 272, 566, 365, 465

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 566 is 2 x 283

Prime Factorization of 365 is 5 x 73

Prime Factorization of 465 is 3 x 5 x 31

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(272, 566) = 76976

GCD(272, 566) = ( 272 x 566 ) / 76976

GCD(272, 566) = 153952 / 76976

GCD(272, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 272, 566, 365, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 284, 852, 472
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• GCD of 925, 161, 143, 757
• GCD of 324, 218, 759, 519

1. What is the GCD of 272, 566, 365, 465?

GCD of 272, 566, 365, 465 is 1

2. Where do I get the detailed procedure to find GCD of 272, 566, 365, 465?

You can find a detailed procedure to find GCD of 272, 566, 365, 465 on our page.

3. How to find GCD of 272, 566, 365, 465 on a calculator?

You can find the GCD of 272, 566, 365, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.