GCD of 476, 584, 72, 210 Calculator

Given Input numbers are 476, 584, 72, 210

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

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

Greatest Common Divisior

We found the divisors of 476, 584, 72, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 584, 72, 210 is 2.

Therefore, GCD of numbers 476, 584, 72, 210 is 2

Given Input Data is 476, 584, 72, 210

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

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

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(476, 584) = 69496

GCD(476, 584) = ( 476 x 584 ) / 69496

GCD(476, 584) = 277984 / 69496

GCD(476, 584) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 210

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

LCM(4, 210) = 420

GCD(4, 210) = ( 4 x 210 ) / 420

GCD(4, 210) = 840 / 420

GCD(4, 210) = 2

GCD of 476, 584, 72, 210 is 2

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1. What is the GCD of 476, 584, 72, 210?

GCD of 476, 584, 72, 210 is 2

2. Where do I get the detailed procedure to find GCD of 476, 584, 72, 210?

You can find a detailed procedure to find GCD of 476, 584, 72, 210 on our page.

3. How to find GCD of 476, 584, 72, 210 on a calculator?

You can find the GCD of 476, 584, 72, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.