GCD of 216, 672, 30, 620 Calculator

Given Input numbers are 216, 672, 30, 620

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 216, 672, 30, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 672, 30, 620 is 2.

Therefore, GCD of numbers 216, 672, 30, 620 is 2

Given Input Data is 216, 672, 30, 620

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 620 is 2 x 2 x 5 x 31

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(216, 672) = 6048

GCD(216, 672) = ( 216 x 672 ) / 6048

GCD(216, 672) = 145152 / 6048

GCD(216, 672) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 30

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

LCM(24, 30) = 120

GCD(24, 30) = ( 24 x 30 ) / 120

GCD(24, 30) = 720 / 120

GCD(24, 30) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 620

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

LCM(6, 620) = 1860

GCD(6, 620) = ( 6 x 620 ) / 1860

GCD(6, 620) = 3720 / 1860

GCD(6, 620) = 2

GCD of 216, 672, 30, 620 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 364, 53, 455
• GCD of 687, 988, 75, 455
• GCD of 270, 258, 19, 453
• GCD of 389, 259, 99, 597
• GCD of 110, 709, 85, 525

1. What is the GCD of 216, 672, 30, 620?

GCD of 216, 672, 30, 620 is 2

2. Where do I get the detailed procedure to find GCD of 216, 672, 30, 620?

You can find a detailed procedure to find GCD of 216, 672, 30, 620 on our page.

3. How to find GCD of 216, 672, 30, 620 on a calculator?

You can find the GCD of 216, 672, 30, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.