GCD of 21, 750, 905, 782 Calculator

Given Input numbers are 21, 750, 905, 782

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 21, 750, 905, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 750, 905, 782 is 1.

Therefore, GCD of numbers 21, 750, 905, 782 is 1

Given Input Data is 21, 750, 905, 782

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 905 is 5 x 181

Prime Factorization of 782 is 2 x 17 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(21, 750) = 5250

GCD(21, 750) = ( 21 x 750 ) / 5250

GCD(21, 750) = 15750 / 5250

GCD(21, 750) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 905

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

LCM(3, 905) = 2715

GCD(3, 905) = ( 3 x 905 ) / 2715

GCD(3, 905) = 2715 / 2715

GCD(3, 905) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 21, 750, 905, 782 is 1

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1. What is the GCD of 21, 750, 905, 782?

GCD of 21, 750, 905, 782 is 1

2. Where do I get the detailed procedure to find GCD of 21, 750, 905, 782?

You can find a detailed procedure to find GCD of 21, 750, 905, 782 on our page.

3. How to find GCD of 21, 750, 905, 782 on a calculator?

You can find the GCD of 21, 750, 905, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.