GCD of 462, 180, 606, 200 Calculator

Given Input numbers are 462, 180, 606, 200

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

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 462, 180, 606, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 180, 606, 200 is 2.

Therefore, GCD of numbers 462, 180, 606, 200 is 2

Given Input Data is 462, 180, 606, 200

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 606 is 2 x 3 x 101

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(462, 180) = 13860

GCD(462, 180) = ( 462 x 180 ) / 13860

GCD(462, 180) = 83160 / 13860

GCD(462, 180) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 606

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

LCM(6, 606) = 606

GCD(6, 606) = ( 6 x 606 ) / 606

GCD(6, 606) = 3636 / 606

GCD(6, 606) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 200

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

LCM(6, 200) = 600

GCD(6, 200) = ( 6 x 200 ) / 600

GCD(6, 200) = 1200 / 600

GCD(6, 200) = 2

GCD of 462, 180, 606, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 624, 778, 244
• GCD of 905, 280, 323, 732
• GCD of 169, 964, 499, 304
• GCD of 585, 267, 496, 509
• GCD of 338, 266, 290, 689

1. What is the GCD of 462, 180, 606, 200?

GCD of 462, 180, 606, 200 is 2

2. Where do I get the detailed procedure to find GCD of 462, 180, 606, 200?

You can find a detailed procedure to find GCD of 462, 180, 606, 200 on our page.

3. How to find GCD of 462, 180, 606, 200 on a calculator?

You can find the GCD of 462, 180, 606, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.