GCD of 152, 567, 78, 133 Calculator

Given Input numbers are 152, 567, 78, 133

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 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 152, 567, 78, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 567, 78, 133 is 1.

Therefore, GCD of numbers 152, 567, 78, 133 is 1

Given Input Data is 152, 567, 78, 133

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 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 133 is 7 x 19

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, 567) = 86184

GCD(152, 567) = ( 152 x 567 ) / 86184

GCD(152, 567) = 86184 / 86184

GCD(152, 567) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 152, 567, 78, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 969, 85, 840
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• GCD of 229, 423, 78, 586

1. What is the GCD of 152, 567, 78, 133?

GCD of 152, 567, 78, 133 is 1

2. Where do I get the detailed procedure to find GCD of 152, 567, 78, 133?

You can find a detailed procedure to find GCD of 152, 567, 78, 133 on our page.

3. How to find GCD of 152, 567, 78, 133 on a calculator?

You can find the GCD of 152, 567, 78, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.