GCD of 132, 789, 263, 916 Calculator

Given Input numbers are 132, 789, 263, 916

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 132, 789, 263, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 789, 263, 916 is 1.

Therefore, GCD of numbers 132, 789, 263, 916 is 1

Given Input Data is 132, 789, 263, 916

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 789 is 3 x 263

Prime Factorization of 263 is 263

Prime Factorization of 916 is 2 x 2 x 229

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, 789) = 34716

GCD(132, 789) = ( 132 x 789 ) / 34716

GCD(132, 789) = 104148 / 34716

GCD(132, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 263

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

LCM(3, 263) = 789

GCD(3, 263) = ( 3 x 263 ) / 789

GCD(3, 263) = 789 / 789

GCD(3, 263) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 132, 789, 263, 916 is 1

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• GCD of 978, 345, 706, 525
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1. What is the GCD of 132, 789, 263, 916?

GCD of 132, 789, 263, 916 is 1

2. Where do I get the detailed procedure to find GCD of 132, 789, 263, 916?

You can find a detailed procedure to find GCD of 132, 789, 263, 916 on our page.

3. How to find GCD of 132, 789, 263, 916 on a calculator?

You can find the GCD of 132, 789, 263, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.