GCD of 222, 676, 820, 537 Calculator

Given Input numbers are 222, 676, 820, 537

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 222, 676, 820, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 676, 820, 537 is 1.

Therefore, GCD of numbers 222, 676, 820, 537 is 1

Given Input Data is 222, 676, 820, 537

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 676 is 2 x 2 x 13 x 13

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

Prime Factorization of 537 is 3 x 179

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(222, 676) = 75036

GCD(222, 676) = ( 222 x 676 ) / 75036

GCD(222, 676) = 150072 / 75036

GCD(222, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 537

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

LCM(2, 537) = 1074

GCD(2, 537) = ( 2 x 537 ) / 1074

GCD(2, 537) = 1074 / 1074

GCD(2, 537) = 1

GCD of 222, 676, 820, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 739, 175, 931
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• GCD of 794, 260, 215, 310
• GCD of 577, 148, 950, 637
• GCD of 440, 113, 403, 837

1. What is the GCD of 222, 676, 820, 537?

GCD of 222, 676, 820, 537 is 1

2. Where do I get the detailed procedure to find GCD of 222, 676, 820, 537?

You can find a detailed procedure to find GCD of 222, 676, 820, 537 on our page.

3. How to find GCD of 222, 676, 820, 537 on a calculator?

You can find the GCD of 222, 676, 820, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.