GCD of 820, 649, 50, 221 Calculator

Given Input numbers are 820, 649, 50, 221

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 820, 649, 50, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 649, 50, 221 is 1.

Therefore, GCD of numbers 820, 649, 50, 221 is 1

Given Input Data is 820, 649, 50, 221

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 649 is 11 x 59

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 221 is 13 x 17

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, 649) = 532180

GCD(820, 649) = ( 820 x 649 ) / 532180

GCD(820, 649) = 532180 / 532180

GCD(820, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 820, 649, 50, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 513, 50, 733
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• GCD of 687, 788, 62, 525
• GCD of 330, 976, 60, 489

1. What is the GCD of 820, 649, 50, 221?

GCD of 820, 649, 50, 221 is 1

2. Where do I get the detailed procedure to find GCD of 820, 649, 50, 221?

You can find a detailed procedure to find GCD of 820, 649, 50, 221 on our page.

3. How to find GCD of 820, 649, 50, 221 on a calculator?

You can find the GCD of 820, 649, 50, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.