GCD of 60, 369, 177, 233 Calculator

Given Input numbers are 60, 369, 177, 233

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Greatest Common Divisior

We found the divisors of 60, 369, 177, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 369, 177, 233 is 1.

Therefore, GCD of numbers 60, 369, 177, 233 is 1

Given Input Data is 60, 369, 177, 233

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 369 is 3 x 3 x 41

Prime Factorization of 177 is 3 x 59

Prime Factorization of 233 is 233

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, 369) = 7380

GCD(60, 369) = ( 60 x 369 ) / 7380

GCD(60, 369) = 22140 / 7380

GCD(60, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 177

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

LCM(3, 177) = 177

GCD(3, 177) = ( 3 x 177 ) / 177

GCD(3, 177) = 531 / 177

GCD(3, 177) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 233

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

LCM(3, 233) = 699

GCD(3, 233) = ( 3 x 233 ) / 699

GCD(3, 233) = 699 / 699

GCD(3, 233) = 1

GCD of 60, 369, 177, 233 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 953, 580, 656
• GCD of 50, 320, 991, 975
• GCD of 74, 422, 511, 351
• GCD of 32, 435, 252, 414
• GCD of 30, 767, 847, 733

1. What is the GCD of 60, 369, 177, 233?

GCD of 60, 369, 177, 233 is 1

2. Where do I get the detailed procedure to find GCD of 60, 369, 177, 233?

You can find a detailed procedure to find GCD of 60, 369, 177, 233 on our page.

3. How to find GCD of 60, 369, 177, 233 on a calculator?

You can find the GCD of 60, 369, 177, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.