GCD of 215, 956, 961, 509 Calculator

Given Input numbers are 215, 956, 961, 509

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 215, 956, 961, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 956, 961, 509 is 1.

Therefore, GCD of numbers 215, 956, 961, 509 is 1

Given Input Data is 215, 956, 961, 509

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 961 is 31 x 31

Prime Factorization of 509 is 509

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(215, 956) = 205540

GCD(215, 956) = ( 215 x 956 ) / 205540

GCD(215, 956) = 205540 / 205540

GCD(215, 956) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 215, 956, 961, 509 is 1

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1. What is the GCD of 215, 956, 961, 509?

GCD of 215, 956, 961, 509 is 1

2. Where do I get the detailed procedure to find GCD of 215, 956, 961, 509?

You can find a detailed procedure to find GCD of 215, 956, 961, 509 on our page.

3. How to find GCD of 215, 956, 961, 509 on a calculator?

You can find the GCD of 215, 956, 961, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.