GCD of 220, 222, 894, 315 Calculator

Given Input numbers are 220, 222, 894, 315

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

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 222

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

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 220, 222, 894, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 222, 894, 315 is 1.

Therefore, GCD of numbers 220, 222, 894, 315 is 1

Given Input Data is 220, 222, 894, 315

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

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 315 is 3 x 3 x 5 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(220, 222) = 24420

GCD(220, 222) = ( 220 x 222 ) / 24420

GCD(220, 222) = 48840 / 24420

GCD(220, 222) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 315

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

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

GCD(2, 315) = 630 / 630

GCD(2, 315) = 1

GCD of 220, 222, 894, 315 is 1

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1. What is the GCD of 220, 222, 894, 315?

GCD of 220, 222, 894, 315 is 1

2. Where do I get the detailed procedure to find GCD of 220, 222, 894, 315?

You can find a detailed procedure to find GCD of 220, 222, 894, 315 on our page.

3. How to find GCD of 220, 222, 894, 315 on a calculator?

You can find the GCD of 220, 222, 894, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.