GCD of 400, 155, 536, 638 Calculator

Given Input numbers are 400, 155, 536, 638

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 400, 155, 536, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 155, 536, 638 is 1.

Therefore, GCD of numbers 400, 155, 536, 638 is 1

Given Input Data is 400, 155, 536, 638

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 155 is 5 x 31

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 638 is 2 x 11 x 29

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(400, 155) = 12400

GCD(400, 155) = ( 400 x 155 ) / 12400

GCD(400, 155) = 62000 / 12400

GCD(400, 155) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 536

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

LCM(5, 536) = 2680

GCD(5, 536) = ( 5 x 536 ) / 2680

GCD(5, 536) = 2680 / 2680

GCD(5, 536) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 400, 155, 536, 638 is 1

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1. What is the GCD of 400, 155, 536, 638?

GCD of 400, 155, 536, 638 is 1

2. Where do I get the detailed procedure to find GCD of 400, 155, 536, 638?

You can find a detailed procedure to find GCD of 400, 155, 536, 638 on our page.

3. How to find GCD of 400, 155, 536, 638 on a calculator?

You can find the GCD of 400, 155, 536, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.