GCD of 821, 145, 23, 820 Calculator

Given Input numbers are 821, 145, 23, 820

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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

Greatest Common Divisior

We found the divisors of 821, 145, 23, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 145, 23, 820 is 1.

Therefore, GCD of numbers 821, 145, 23, 820 is 1

Given Input Data is 821, 145, 23, 820

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

Prime Factorization of 821 is 821

Prime Factorization of 145 is 5 x 29

Prime Factorization of 23 is 23

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

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(821, 145) = 119045

GCD(821, 145) = ( 821 x 145 ) / 119045

GCD(821, 145) = 119045 / 119045

GCD(821, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 821, 145, 23, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 459, 38, 421
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• GCD of 558, 250, 62, 141

1. What is the GCD of 821, 145, 23, 820?

GCD of 821, 145, 23, 820 is 1

2. Where do I get the detailed procedure to find GCD of 821, 145, 23, 820?

You can find a detailed procedure to find GCD of 821, 145, 23, 820 on our page.

3. How to find GCD of 821, 145, 23, 820 on a calculator?

You can find the GCD of 821, 145, 23, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.