GCD of 820, 867, 90, 867 Calculator

Given Input numbers are 820, 867, 90, 867

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 820, 867, 90, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 867, 90, 867 is 1.

Therefore, GCD of numbers 820, 867, 90, 867 is 1

Given Input Data is 820, 867, 90, 867

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 867 is 3 x 17 x 17

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(820, 867) = 710940

GCD(820, 867) = ( 820 x 867 ) / 710940

GCD(820, 867) = 710940 / 710940

GCD(820, 867) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 820, 867, 90, 867 is 1

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1. What is the GCD of 820, 867, 90, 867?

GCD of 820, 867, 90, 867 is 1

2. Where do I get the detailed procedure to find GCD of 820, 867, 90, 867?

You can find a detailed procedure to find GCD of 820, 867, 90, 867 on our page.

3. How to find GCD of 820, 867, 90, 867 on a calculator?

You can find the GCD of 820, 867, 90, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.