GCD of 827, 817, 47, 120 Calculator

Given Input numbers are 827, 817, 47, 120

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 827, 817, 47, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 817, 47, 120 is 1.

Therefore, GCD of numbers 827, 817, 47, 120 is 1

Given Input Data is 827, 817, 47, 120

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

Prime Factorization of 827 is 827

Prime Factorization of 817 is 19 x 43

Prime Factorization of 47 is 47

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(827, 817) = 675659

GCD(827, 817) = ( 827 x 817 ) / 675659

GCD(827, 817) = 675659 / 675659

GCD(827, 817) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 827, 817, 47, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 364, 70, 520
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• GCD of 800, 811, 29, 770

1. What is the GCD of 827, 817, 47, 120?

GCD of 827, 817, 47, 120 is 1

2. Where do I get the detailed procedure to find GCD of 827, 817, 47, 120?

You can find a detailed procedure to find GCD of 827, 817, 47, 120 on our page.

3. How to find GCD of 827, 817, 47, 120 on a calculator?

You can find the GCD of 827, 817, 47, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.