GCD of 84, 512, 551, 200 Calculator

Given Input numbers are 84, 512, 551, 200

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

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

Greatest Common Divisior

We found the divisors of 84, 512, 551, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 512, 551, 200 is 1.

Therefore, GCD of numbers 84, 512, 551, 200 is 1

Given Input Data is 84, 512, 551, 200

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 551 is 19 x 29

Prime Factorization of 200 is 2 x 2 x 2 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(84, 512) = 10752

GCD(84, 512) = ( 84 x 512 ) / 10752

GCD(84, 512) = 43008 / 10752

GCD(84, 512) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 551

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

LCM(4, 551) = 2204

GCD(4, 551) = ( 4 x 551 ) / 2204

GCD(4, 551) = 2204 / 2204

GCD(4, 551) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 84, 512, 551, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 485, 330, 597
• GCD of 36, 192, 682, 875
• GCD of 83, 957, 989, 100
• GCD of 91, 803, 430, 371
• GCD of 83, 283, 857, 577

1. What is the GCD of 84, 512, 551, 200?

GCD of 84, 512, 551, 200 is 1

2. Where do I get the detailed procedure to find GCD of 84, 512, 551, 200?

You can find a detailed procedure to find GCD of 84, 512, 551, 200 on our page.

3. How to find GCD of 84, 512, 551, 200 on a calculator?

You can find the GCD of 84, 512, 551, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.