GCD of 810, 972, 67, 855 Calculator

Given Input numbers are 810, 972, 67, 855

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 810, 972, 67, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 972, 67, 855 is 1.

Therefore, GCD of numbers 810, 972, 67, 855 is 1

Given Input Data is 810, 972, 67, 855

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(810, 972) = 4860

GCD(810, 972) = ( 810 x 972 ) / 4860

GCD(810, 972) = 787320 / 4860

GCD(810, 972) = 162

Step2:

Here we consider the GCD from the above i.e. 162 as first number and the next as 67

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

LCM(162, 67) = 10854

GCD(162, 67) = ( 162 x 67 ) / 10854

GCD(162, 67) = 10854 / 10854

GCD(162, 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 810, 972, 67, 855 is 1

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1. What is the GCD of 810, 972, 67, 855?

GCD of 810, 972, 67, 855 is 1

2. Where do I get the detailed procedure to find GCD of 810, 972, 67, 855?

You can find a detailed procedure to find GCD of 810, 972, 67, 855 on our page.

3. How to find GCD of 810, 972, 67, 855 on a calculator?

You can find the GCD of 810, 972, 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.