GCD of 38, 900, 651, 759 Calculator

Given Input numbers are 38, 900, 651, 759

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

Divisors of 38

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

1, 2, 19, 38

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

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 38, 900, 651, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 900, 651, 759 is 1.

Therefore, GCD of numbers 38, 900, 651, 759 is 1

Given Input Data is 38, 900, 651, 759

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

Prime Factorization of 38 is 2 x 19

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

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 759 is 3 x 11 x 23

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(38, 900) = 17100

GCD(38, 900) = ( 38 x 900 ) / 17100

GCD(38, 900) = 34200 / 17100

GCD(38, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 651

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

LCM(2, 651) = 1302

GCD(2, 651) = ( 2 x 651 ) / 1302

GCD(2, 651) = 1302 / 1302

GCD(2, 651) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 38, 900, 651, 759 is 1

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1. What is the GCD of 38, 900, 651, 759?

GCD of 38, 900, 651, 759 is 1

2. Where do I get the detailed procedure to find GCD of 38, 900, 651, 759?

You can find a detailed procedure to find GCD of 38, 900, 651, 759 on our page.

3. How to find GCD of 38, 900, 651, 759 on a calculator?

You can find the GCD of 38, 900, 651, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.