GCD of 820, 692, 881, 905 Calculator

Given Input numbers are 820, 692, 881, 905

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 881

List of positive integer divisors of 881 that divides 881 without a remainder.

1, 881

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 820, 692, 881, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 692, 881, 905 is 1.

Therefore, GCD of numbers 820, 692, 881, 905 is 1

Given Input Data is 820, 692, 881, 905

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 692 is 2 x 2 x 173

Prime Factorization of 881 is 881

Prime Factorization of 905 is 5 x 181

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, 692) = 141860

GCD(820, 692) = ( 820 x 692 ) / 141860

GCD(820, 692) = 567440 / 141860

GCD(820, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 881

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

LCM(4, 881) = 3524

GCD(4, 881) = ( 4 x 881 ) / 3524

GCD(4, 881) = 3524 / 3524

GCD(4, 881) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 820, 692, 881, 905 is 1

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1. What is the GCD of 820, 692, 881, 905?

GCD of 820, 692, 881, 905 is 1

2. Where do I get the detailed procedure to find GCD of 820, 692, 881, 905?

You can find a detailed procedure to find GCD of 820, 692, 881, 905 on our page.

3. How to find GCD of 820, 692, 881, 905 on a calculator?

You can find the GCD of 820, 692, 881, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.