GCD of 682, 301, 507, 222 Calculator

Given Input numbers are 682, 301, 507, 222

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 222

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

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

Greatest Common Divisior

We found the divisors of 682, 301, 507, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 301, 507, 222 is 1.

Therefore, GCD of numbers 682, 301, 507, 222 is 1

Given Input Data is 682, 301, 507, 222

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 301 is 7 x 43

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 222 is 2 x 3 x 37

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(682, 301) = 205282

GCD(682, 301) = ( 682 x 301 ) / 205282

GCD(682, 301) = 205282 / 205282

GCD(682, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 682, 301, 507, 222 is 1

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1. What is the GCD of 682, 301, 507, 222?

GCD of 682, 301, 507, 222 is 1

2. Where do I get the detailed procedure to find GCD of 682, 301, 507, 222?

You can find a detailed procedure to find GCD of 682, 301, 507, 222 on our page.

3. How to find GCD of 682, 301, 507, 222 on a calculator?

You can find the GCD of 682, 301, 507, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.