GCD of 60, 537, 410, 111 Calculator

Given Input numbers are 60, 537, 410, 111

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 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 60, 537, 410, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 537, 410, 111 is 1.

Therefore, GCD of numbers 60, 537, 410, 111 is 1

Given Input Data is 60, 537, 410, 111

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 537 is 3 x 179

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 111 is 3 x 37

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, 537) = 10740

GCD(60, 537) = ( 60 x 537 ) / 10740

GCD(60, 537) = 32220 / 10740

GCD(60, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 410

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

LCM(3, 410) = 1230

GCD(3, 410) = ( 3 x 410 ) / 1230

GCD(3, 410) = 1230 / 1230

GCD(3, 410) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 60, 537, 410, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 578, 769, 713
• GCD of 39, 753, 406, 798
• GCD of 61, 282, 210, 677
• GCD of 73, 667, 535, 525
• GCD of 35, 536, 609, 759

1. What is the GCD of 60, 537, 410, 111?

GCD of 60, 537, 410, 111 is 1

2. Where do I get the detailed procedure to find GCD of 60, 537, 410, 111?

You can find a detailed procedure to find GCD of 60, 537, 410, 111 on our page.

3. How to find GCD of 60, 537, 410, 111 on a calculator?

You can find the GCD of 60, 537, 410, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.