GCD of 224, 627, 339, 660 Calculator

Given Input numbers are 224, 627, 339, 660

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 224, 627, 339, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 627, 339, 660 is 1.

Therefore, GCD of numbers 224, 627, 339, 660 is 1

Given Input Data is 224, 627, 339, 660

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 339 is 3 x 113

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(224, 627) = 140448

GCD(224, 627) = ( 224 x 627 ) / 140448

GCD(224, 627) = 140448 / 140448

GCD(224, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 224, 627, 339, 660 is 1

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1. What is the GCD of 224, 627, 339, 660?

GCD of 224, 627, 339, 660 is 1

2. Where do I get the detailed procedure to find GCD of 224, 627, 339, 660?

You can find a detailed procedure to find GCD of 224, 627, 339, 660 on our page.

3. How to find GCD of 224, 627, 339, 660 on a calculator?

You can find the GCD of 224, 627, 339, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.