GCD of 152, 132, 249, 249 Calculator

Given Input numbers are 152, 132, 249, 249

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 152, 132, 249, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 132, 249, 249 is 1.

Therefore, GCD of numbers 152, 132, 249, 249 is 1

Given Input Data is 152, 132, 249, 249

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 249 is 3 x 83

Prime Factorization of 249 is 3 x 83

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(152, 132) = 5016

GCD(152, 132) = ( 152 x 132 ) / 5016

GCD(152, 132) = 20064 / 5016

GCD(152, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 249

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

LCM(4, 249) = 996

GCD(4, 249) = ( 4 x 249 ) / 996

GCD(4, 249) = 996 / 996

GCD(4, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 152, 132, 249, 249 is 1

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1. What is the GCD of 152, 132, 249, 249?

GCD of 152, 132, 249, 249 is 1

2. Where do I get the detailed procedure to find GCD of 152, 132, 249, 249?

You can find a detailed procedure to find GCD of 152, 132, 249, 249 on our page.

3. How to find GCD of 152, 132, 249, 249 on a calculator?

You can find the GCD of 152, 132, 249, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.