GCD of 90, 225, 197, 916 Calculator

Given Input numbers are 90, 225, 197, 916

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 90, 225, 197, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 225, 197, 916 is 1.

Therefore, GCD of numbers 90, 225, 197, 916 is 1

Given Input Data is 90, 225, 197, 916

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 225 is 3 x 3 x 5 x 5

Prime Factorization of 197 is 197

Prime Factorization of 916 is 2 x 2 x 229

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, 225) = 450

GCD(90, 225) = ( 90 x 225 ) / 450

GCD(90, 225) = 20250 / 450

GCD(90, 225) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 197

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

LCM(45, 197) = 8865

GCD(45, 197) = ( 45 x 197 ) / 8865

GCD(45, 197) = 8865 / 8865

GCD(45, 197) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 90, 225, 197, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 718, 137, 653
• GCD of 27, 426, 397, 260
• GCD of 90, 890, 287, 764
• GCD of 31, 592, 352, 345
• GCD of 22, 256, 579, 202

1. What is the GCD of 90, 225, 197, 916?

GCD of 90, 225, 197, 916 is 1

2. Where do I get the detailed procedure to find GCD of 90, 225, 197, 916?

You can find a detailed procedure to find GCD of 90, 225, 197, 916 on our page.

3. How to find GCD of 90, 225, 197, 916 on a calculator?

You can find the GCD of 90, 225, 197, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.