GCD of 200, 151, 36, 920 Calculator

Given Input numbers are 200, 151, 36, 920

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

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 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 200, 151, 36, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 151, 36, 920 is 1.

Therefore, GCD of numbers 200, 151, 36, 920 is 1

Given Input Data is 200, 151, 36, 920

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 151 is 151

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(200, 151) = 30200

GCD(200, 151) = ( 200 x 151 ) / 30200

GCD(200, 151) = 30200 / 30200

GCD(200, 151) = 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 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 200, 151, 36, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 238, 96, 572
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• GCD of 995, 211, 29, 183
• GCD of 880, 601, 68, 490

1. What is the GCD of 200, 151, 36, 920?

GCD of 200, 151, 36, 920 is 1

2. Where do I get the detailed procedure to find GCD of 200, 151, 36, 920?

You can find a detailed procedure to find GCD of 200, 151, 36, 920 on our page.

3. How to find GCD of 200, 151, 36, 920 on a calculator?

You can find the GCD of 200, 151, 36, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.