GCD of 215, 520, 38, 922 Calculator

Given Input numbers are 215, 520, 38, 922

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 215, 520, 38, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 520, 38, 922 is 1.

Therefore, GCD of numbers 215, 520, 38, 922 is 1

Given Input Data is 215, 520, 38, 922

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 38 is 2 x 19

Prime Factorization of 922 is 2 x 461

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(215, 520) = 22360

GCD(215, 520) = ( 215 x 520 ) / 22360

GCD(215, 520) = 111800 / 22360

GCD(215, 520) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 38

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

LCM(5, 38) = 190

GCD(5, 38) = ( 5 x 38 ) / 190

GCD(5, 38) = 190 / 190

GCD(5, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 215, 520, 38, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 876, 61, 408
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• GCD of 989, 402, 15, 950

1. What is the GCD of 215, 520, 38, 922?

GCD of 215, 520, 38, 922 is 1

2. Where do I get the detailed procedure to find GCD of 215, 520, 38, 922?

You can find a detailed procedure to find GCD of 215, 520, 38, 922 on our page.

3. How to find GCD of 215, 520, 38, 922 on a calculator?

You can find the GCD of 215, 520, 38, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.