GCD of 132, 115, 458, 876 Calculator

Given Input numbers are 132, 115, 458, 876

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

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 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 132, 115, 458, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 115, 458, 876 is 1.

Therefore, GCD of numbers 132, 115, 458, 876 is 1

Given Input Data is 132, 115, 458, 876

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

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 458 is 2 x 229

Prime Factorization of 876 is 2 x 2 x 3 x 73

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(132, 115) = 15180

GCD(132, 115) = ( 132 x 115 ) / 15180

GCD(132, 115) = 15180 / 15180

GCD(132, 115) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

GCD of 132, 115, 458, 876 is 1

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1. What is the GCD of 132, 115, 458, 876?

GCD of 132, 115, 458, 876 is 1

2. Where do I get the detailed procedure to find GCD of 132, 115, 458, 876?

You can find a detailed procedure to find GCD of 132, 115, 458, 876 on our page.

3. How to find GCD of 132, 115, 458, 876 on a calculator?

You can find the GCD of 132, 115, 458, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.