GCD of 627, 720, 69, 368 Calculator

Given Input numbers are 627, 720, 69, 368

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

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 627, 720, 69, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 720, 69, 368 is 1.

Therefore, GCD of numbers 627, 720, 69, 368 is 1

Given Input Data is 627, 720, 69, 368

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 69 is 3 x 23

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(627, 720) = 150480

GCD(627, 720) = ( 627 x 720 ) / 150480

GCD(627, 720) = 451440 / 150480

GCD(627, 720) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 368

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

LCM(3, 368) = 1104

GCD(3, 368) = ( 3 x 368 ) / 1104

GCD(3, 368) = 1104 / 1104

GCD(3, 368) = 1

GCD of 627, 720, 69, 368 is 1

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1. What is the GCD of 627, 720, 69, 368?

GCD of 627, 720, 69, 368 is 1

2. Where do I get the detailed procedure to find GCD of 627, 720, 69, 368?

You can find a detailed procedure to find GCD of 627, 720, 69, 368 on our page.

3. How to find GCD of 627, 720, 69, 368 on a calculator?

You can find the GCD of 627, 720, 69, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.