GCD of 201, 916, 96, 500 Calculator

Given Input numbers are 201, 916, 96, 500

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 201, 916, 96, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 916, 96, 500 is 1.

Therefore, GCD of numbers 201, 916, 96, 500 is 1

Given Input Data is 201, 916, 96, 500

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(201, 916) = 184116

GCD(201, 916) = ( 201 x 916 ) / 184116

GCD(201, 916) = 184116 / 184116

GCD(201, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 201, 916, 96, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 160, 89, 350
• GCD of 970, 499, 10, 195
• GCD of 612, 878, 77, 761
• GCD of 382, 579, 77, 677
• GCD of 155, 906, 95, 501

1. What is the GCD of 201, 916, 96, 500?

GCD of 201, 916, 96, 500 is 1

2. Where do I get the detailed procedure to find GCD of 201, 916, 96, 500?

You can find a detailed procedure to find GCD of 201, 916, 96, 500 on our page.

3. How to find GCD of 201, 916, 96, 500 on a calculator?

You can find the GCD of 201, 916, 96, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.