GCD of 822, 870, 16, 525 Calculator

Given Input numbers are 822, 870, 16, 525

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 822, 870, 16, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 870, 16, 525 is 1.

Therefore, GCD of numbers 822, 870, 16, 525 is 1

Given Input Data is 822, 870, 16, 525

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(822, 870) = 119190

GCD(822, 870) = ( 822 x 870 ) / 119190

GCD(822, 870) = 715140 / 119190

GCD(822, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 525

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

LCM(2, 525) = 1050

GCD(2, 525) = ( 2 x 525 ) / 1050

GCD(2, 525) = 1050 / 1050

GCD(2, 525) = 1

GCD of 822, 870, 16, 525 is 1

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1. What is the GCD of 822, 870, 16, 525?

GCD of 822, 870, 16, 525 is 1

2. Where do I get the detailed procedure to find GCD of 822, 870, 16, 525?

You can find a detailed procedure to find GCD of 822, 870, 16, 525 on our page.

3. How to find GCD of 822, 870, 16, 525 on a calculator?

You can find the GCD of 822, 870, 16, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.