GCD of 734, 638, 21, 900 Calculator

Given Input numbers are 734, 638, 21, 900

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 638

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

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 734, 638, 21, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 638, 21, 900 is 1.

Therefore, GCD of numbers 734, 638, 21, 900 is 1

Given Input Data is 734, 638, 21, 900

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 21 is 3 x 7

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(734, 638) = 234146

GCD(734, 638) = ( 734 x 638 ) / 234146

GCD(734, 638) = 468292 / 234146

GCD(734, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 734, 638, 21, 900 is 1

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• GCD of 851, 739, 99, 432

1. What is the GCD of 734, 638, 21, 900?

GCD of 734, 638, 21, 900 is 1

2. Where do I get the detailed procedure to find GCD of 734, 638, 21, 900?

You can find a detailed procedure to find GCD of 734, 638, 21, 900 on our page.

3. How to find GCD of 734, 638, 21, 900 on a calculator?

You can find the GCD of 734, 638, 21, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.