GCD of 822, 690, 687, 695 Calculator

Given Input numbers are 822, 690, 687, 695

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 822, 690, 687, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 690, 687, 695 is 1.

Therefore, GCD of numbers 822, 690, 687, 695 is 1

Given Input Data is 822, 690, 687, 695

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 690 is 2 x 3 x 5 x 23

Prime Factorization of 687 is 3 x 229

Prime Factorization of 695 is 5 x 139

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, 690) = 94530

GCD(822, 690) = ( 822 x 690 ) / 94530

GCD(822, 690) = 567180 / 94530

GCD(822, 690) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 687

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

LCM(6, 687) = 1374

GCD(6, 687) = ( 6 x 687 ) / 1374

GCD(6, 687) = 4122 / 1374

GCD(6, 687) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 695

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

LCM(3, 695) = 2085

GCD(3, 695) = ( 3 x 695 ) / 2085

GCD(3, 695) = 2085 / 2085

GCD(3, 695) = 1

GCD of 822, 690, 687, 695 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 820, 145, 958
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1. What is the GCD of 822, 690, 687, 695?

GCD of 822, 690, 687, 695 is 1

2. Where do I get the detailed procedure to find GCD of 822, 690, 687, 695?

You can find a detailed procedure to find GCD of 822, 690, 687, 695 on our page.

3. How to find GCD of 822, 690, 687, 695 on a calculator?

You can find the GCD of 822, 690, 687, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.