GCD of 60, 627, 495, 192 Calculator

Given Input numbers are 60, 627, 495, 192

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Greatest Common Divisior

We found the divisors of 60, 627, 495, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 627, 495, 192 is 3.

Therefore, GCD of numbers 60, 627, 495, 192 is 3

Given Input Data is 60, 627, 495, 192

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(60, 627) = 12540

GCD(60, 627) = ( 60 x 627 ) / 12540

GCD(60, 627) = 37620 / 12540

GCD(60, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 495

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

LCM(3, 495) = 495

GCD(3, 495) = ( 3 x 495 ) / 495

GCD(3, 495) = 1485 / 495

GCD(3, 495) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 192

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

LCM(3, 192) = 192

GCD(3, 192) = ( 3 x 192 ) / 192

GCD(3, 192) = 576 / 192

GCD(3, 192) = 3

GCD of 60, 627, 495, 192 is 3

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1. What is the GCD of 60, 627, 495, 192?

GCD of 60, 627, 495, 192 is 3

2. Where do I get the detailed procedure to find GCD of 60, 627, 495, 192?

You can find a detailed procedure to find GCD of 60, 627, 495, 192 on our page.

3. How to find GCD of 60, 627, 495, 192 on a calculator?

You can find the GCD of 60, 627, 495, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.