GCD of 90, 271, 215, 822 Calculator

Given Input numbers are 90, 271, 215, 822

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 215

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

1, 5, 43, 215

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 90, 271, 215, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 271, 215, 822 is 1.

Therefore, GCD of numbers 90, 271, 215, 822 is 1

Given Input Data is 90, 271, 215, 822

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 271 is 271

Prime Factorization of 215 is 5 x 43

Prime Factorization of 822 is 2 x 3 x 137

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(90, 271) = 24390

GCD(90, 271) = ( 90 x 271 ) / 24390

GCD(90, 271) = 24390 / 24390

GCD(90, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 90, 271, 215, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 265, 360, 504
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• GCD of 50, 834, 428, 284
• GCD of 44, 185, 907, 627
• GCD of 55, 347, 278, 651

1. What is the GCD of 90, 271, 215, 822?

GCD of 90, 271, 215, 822 is 1

2. Where do I get the detailed procedure to find GCD of 90, 271, 215, 822?

You can find a detailed procedure to find GCD of 90, 271, 215, 822 on our page.

3. How to find GCD of 90, 271, 215, 822 on a calculator?

You can find the GCD of 90, 271, 215, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.