GCD of 505, 220, 76, 821 Calculator

Given Input numbers are 505, 220, 76, 821

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 821

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

1, 821

Greatest Common Divisior

We found the divisors of 505, 220, 76, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 220, 76, 821 is 1.

Therefore, GCD of numbers 505, 220, 76, 821 is 1

Given Input Data is 505, 220, 76, 821

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 821 is 821

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(505, 220) = 22220

GCD(505, 220) = ( 505 x 220 ) / 22220

GCD(505, 220) = 111100 / 22220

GCD(505, 220) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 76

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

LCM(5, 76) = 380

GCD(5, 76) = ( 5 x 76 ) / 380

GCD(5, 76) = 380 / 380

GCD(5, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 505, 220, 76, 821 is 1

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1. What is the GCD of 505, 220, 76, 821?

GCD of 505, 220, 76, 821 is 1

2. Where do I get the detailed procedure to find GCD of 505, 220, 76, 821?

You can find a detailed procedure to find GCD of 505, 220, 76, 821 on our page.

3. How to find GCD of 505, 220, 76, 821 on a calculator?

You can find the GCD of 505, 220, 76, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.