GCD of 645, 222, 507, 112 Calculator

Given Input numbers are 645, 222, 507, 112

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

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 507

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

1, 3, 13, 39, 169, 507

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 645, 222, 507, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 222, 507, 112 is 1.

Therefore, GCD of numbers 645, 222, 507, 112 is 1

Given Input Data is 645, 222, 507, 112

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(645, 222) = 47730

GCD(645, 222) = ( 645 x 222 ) / 47730

GCD(645, 222) = 143190 / 47730

GCD(645, 222) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 507

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

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

GCD(3, 507) = 1521 / 507

GCD(3, 507) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 112

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

LCM(3, 112) = 336

GCD(3, 112) = ( 3 x 112 ) / 336

GCD(3, 112) = 336 / 336

GCD(3, 112) = 1

GCD of 645, 222, 507, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 333, 430, 385
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• GCD of 356, 131, 672, 459

1. What is the GCD of 645, 222, 507, 112?

GCD of 645, 222, 507, 112 is 1

2. Where do I get the detailed procedure to find GCD of 645, 222, 507, 112?

You can find a detailed procedure to find GCD of 645, 222, 507, 112 on our page.

3. How to find GCD of 645, 222, 507, 112 on a calculator?

You can find the GCD of 645, 222, 507, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.