GCD of 362, 663, 119, 612 Calculator

Given Input numbers are 362, 663, 119, 612

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 362, 663, 119, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 663, 119, 612 is 1.

Therefore, GCD of numbers 362, 663, 119, 612 is 1

Given Input Data is 362, 663, 119, 612

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 119 is 7 x 17

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(362, 663) = 240006

GCD(362, 663) = ( 362 x 663 ) / 240006

GCD(362, 663) = 240006 / 240006

GCD(362, 663) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 362, 663, 119, 612 is 1

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1. What is the GCD of 362, 663, 119, 612?

GCD of 362, 663, 119, 612 is 1

2. Where do I get the detailed procedure to find GCD of 362, 663, 119, 612?

You can find a detailed procedure to find GCD of 362, 663, 119, 612 on our page.

3. How to find GCD of 362, 663, 119, 612 on a calculator?

You can find the GCD of 362, 663, 119, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.