GCD of 812, 360, 67, 855 Calculator

Given Input numbers are 812, 360, 67, 855

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 812, 360, 67, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 360, 67, 855 is 1.

Therefore, GCD of numbers 812, 360, 67, 855 is 1

Given Input Data is 812, 360, 67, 855

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 67 is 67

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(812, 360) = 73080

GCD(812, 360) = ( 812 x 360 ) / 73080

GCD(812, 360) = 292320 / 73080

GCD(812, 360) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 67

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

LCM(4, 67) = 268

GCD(4, 67) = ( 4 x 67 ) / 268

GCD(4, 67) = 268 / 268

GCD(4, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 812, 360, 67, 855 is 1

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1. What is the GCD of 812, 360, 67, 855?

GCD of 812, 360, 67, 855 is 1

2. Where do I get the detailed procedure to find GCD of 812, 360, 67, 855?

You can find a detailed procedure to find GCD of 812, 360, 67, 855 on our page.

3. How to find GCD of 812, 360, 67, 855 on a calculator?

You can find the GCD of 812, 360, 67, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.