GCD of 210, 646, 30, 476 Calculator

Given Input numbers are 210, 646, 30, 476

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 210, 646, 30, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 646, 30, 476 is 2.

Therefore, GCD of numbers 210, 646, 30, 476 is 2

Given Input Data is 210, 646, 30, 476

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 476 is 2 x 2 x 7 x 17

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(210, 646) = 67830

GCD(210, 646) = ( 210 x 646 ) / 67830

GCD(210, 646) = 135660 / 67830

GCD(210, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 476

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

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

GCD(2, 476) = 952 / 476

GCD(2, 476) = 2

GCD of 210, 646, 30, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 582, 82, 445
• GCD of 740, 272, 12, 508
• GCD of 649, 413, 83, 750
• GCD of 442, 704, 16, 530
• GCD of 772, 490, 27, 756

1. What is the GCD of 210, 646, 30, 476?

GCD of 210, 646, 30, 476 is 2

2. Where do I get the detailed procedure to find GCD of 210, 646, 30, 476?

You can find a detailed procedure to find GCD of 210, 646, 30, 476 on our page.

3. How to find GCD of 210, 646, 30, 476 on a calculator?

You can find the GCD of 210, 646, 30, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.