GCD of 21, 814, 630, 859 Calculator

Given Input numbers are 21, 814, 630, 859

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 21, 814, 630, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 814, 630, 859 is 1.

Therefore, GCD of numbers 21, 814, 630, 859 is 1

Given Input Data is 21, 814, 630, 859

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 859 is 859

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, 814) = 17094

GCD(21, 814) = ( 21 x 814 ) / 17094

GCD(21, 814) = 17094 / 17094

GCD(21, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 21, 814, 630, 859 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 572, 176, 277
• GCD of 72, 895, 103, 978
• GCD of 84, 498, 150, 726
• GCD of 59, 117, 425, 360
• GCD of 29, 466, 813, 361

1. What is the GCD of 21, 814, 630, 859?

GCD of 21, 814, 630, 859 is 1

2. Where do I get the detailed procedure to find GCD of 21, 814, 630, 859?

You can find a detailed procedure to find GCD of 21, 814, 630, 859 on our page.

3. How to find GCD of 21, 814, 630, 859 on a calculator?

You can find the GCD of 21, 814, 630, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.