GCD of 821, 961, 36, 358 Calculator

Given Input numbers are 821, 961, 36, 358

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 961

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

1, 31, 961

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 821, 961, 36, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 961, 36, 358 is 1.

Therefore, GCD of numbers 821, 961, 36, 358 is 1

Given Input Data is 821, 961, 36, 358

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

Prime Factorization of 821 is 821

Prime Factorization of 961 is 31 x 31

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 358 is 2 x 179

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(821, 961) = 788981

GCD(821, 961) = ( 821 x 961 ) / 788981

GCD(821, 961) = 788981 / 788981

GCD(821, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 821, 961, 36, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 962, 95, 260
• GCD of 312, 187, 42, 449
• GCD of 938, 646, 98, 174
• GCD of 433, 802, 99, 122
• GCD of 989, 825, 60, 748

1. What is the GCD of 821, 961, 36, 358?

GCD of 821, 961, 36, 358 is 1

2. Where do I get the detailed procedure to find GCD of 821, 961, 36, 358?

You can find a detailed procedure to find GCD of 821, 961, 36, 358 on our page.

3. How to find GCD of 821, 961, 36, 358 on a calculator?

You can find the GCD of 821, 961, 36, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.