GCD of 620, 816, 31, 205 Calculator

Given Input numbers are 620, 816, 31, 205

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

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 620, 816, 31, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 816, 31, 205 is 1.

Therefore, GCD of numbers 620, 816, 31, 205 is 1

Given Input Data is 620, 816, 31, 205

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

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 31 is 31

Prime Factorization of 205 is 5 x 41

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(620, 816) = 126480

GCD(620, 816) = ( 620 x 816 ) / 126480

GCD(620, 816) = 505920 / 126480

GCD(620, 816) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 620, 816, 31, 205 is 1

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• GCD of 501, 641, 56, 199
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1. What is the GCD of 620, 816, 31, 205?

GCD of 620, 816, 31, 205 is 1

2. Where do I get the detailed procedure to find GCD of 620, 816, 31, 205?

You can find a detailed procedure to find GCD of 620, 816, 31, 205 on our page.

3. How to find GCD of 620, 816, 31, 205 on a calculator?

You can find the GCD of 620, 816, 31, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.