GCD of 222, 462, 450, 349 Calculator

Given Input numbers are 222, 462, 450, 349

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 222, 462, 450, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 462, 450, 349 is 1.

Therefore, GCD of numbers 222, 462, 450, 349 is 1

Given Input Data is 222, 462, 450, 349

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 462 is 2 x 3 x 7 x 11

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 349 is 349

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, 462) = 17094

GCD(222, 462) = ( 222 x 462 ) / 17094

GCD(222, 462) = 102564 / 17094

GCD(222, 462) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 450

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

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

GCD(6, 450) = 2700 / 450

GCD(6, 450) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 349

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

LCM(6, 349) = 2094

GCD(6, 349) = ( 6 x 349 ) / 2094

GCD(6, 349) = 2094 / 2094

GCD(6, 349) = 1

GCD of 222, 462, 450, 349 is 1

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1. What is the GCD of 222, 462, 450, 349?

GCD of 222, 462, 450, 349 is 1

2. Where do I get the detailed procedure to find GCD of 222, 462, 450, 349?

You can find a detailed procedure to find GCD of 222, 462, 450, 349 on our page.

3. How to find GCD of 222, 462, 450, 349 on a calculator?

You can find the GCD of 222, 462, 450, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.