GCD of 60, 171, 495, 632 Calculator

Given Input numbers are 60, 171, 495, 632

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 60, 171, 495, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 171, 495, 632 is 1.

Therefore, GCD of numbers 60, 171, 495, 632 is 1

Given Input Data is 60, 171, 495, 632

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 171 is 3 x 3 x 19

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(60, 171) = 3420

GCD(60, 171) = ( 60 x 171 ) / 3420

GCD(60, 171) = 10260 / 3420

GCD(60, 171) = 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 632

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

LCM(3, 632) = 1896

GCD(3, 632) = ( 3 x 632 ) / 1896

GCD(3, 632) = 1896 / 1896

GCD(3, 632) = 1

GCD of 60, 171, 495, 632 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 802, 501, 316
• GCD of 71, 723, 164, 801
• GCD of 82, 859, 265, 749
• GCD of 49, 133, 796, 329
• GCD of 70, 137, 606, 358

1. What is the GCD of 60, 171, 495, 632?

GCD of 60, 171, 495, 632 is 1

2. Where do I get the detailed procedure to find GCD of 60, 171, 495, 632?

You can find a detailed procedure to find GCD of 60, 171, 495, 632 on our page.

3. How to find GCD of 60, 171, 495, 632 on a calculator?

You can find the GCD of 60, 171, 495, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.