GCD of 89, 961, 756, 213 Calculator

Given Input numbers are 89, 961, 756, 213

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 961

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

1, 31, 961

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 89, 961, 756, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 961, 756, 213 is 1.

Therefore, GCD of numbers 89, 961, 756, 213 is 1

Given Input Data is 89, 961, 756, 213

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

Prime Factorization of 89 is 89

Prime Factorization of 961 is 31 x 31

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 213 is 3 x 71

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(89, 961) = 85529

GCD(89, 961) = ( 89 x 961 ) / 85529

GCD(89, 961) = 85529 / 85529

GCD(89, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 89, 961, 756, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 921, 789, 143
• GCD of 40, 159, 664, 307
• GCD of 76, 879, 458, 624
• GCD of 13, 305, 843, 896
• GCD of 54, 199, 357, 579

1. What is the GCD of 89, 961, 756, 213?

GCD of 89, 961, 756, 213 is 1

2. Where do I get the detailed procedure to find GCD of 89, 961, 756, 213?

You can find a detailed procedure to find GCD of 89, 961, 756, 213 on our page.

3. How to find GCD of 89, 961, 756, 213 on a calculator?

You can find the GCD of 89, 961, 756, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.