GCD of 132, 713, 755, 856 Calculator

Given Input numbers are 132, 713, 755, 856

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 132, 713, 755, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 713, 755, 856 is 1.

Therefore, GCD of numbers 132, 713, 755, 856 is 1

Given Input Data is 132, 713, 755, 856

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 713 is 23 x 31

Prime Factorization of 755 is 5 x 151

Prime Factorization of 856 is 2 x 2 x 2 x 107

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, 713) = 94116

GCD(132, 713) = ( 132 x 713 ) / 94116

GCD(132, 713) = 94116 / 94116

GCD(132, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 132, 713, 755, 856 is 1

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1. What is the GCD of 132, 713, 755, 856?

GCD of 132, 713, 755, 856 is 1

2. Where do I get the detailed procedure to find GCD of 132, 713, 755, 856?

You can find a detailed procedure to find GCD of 132, 713, 755, 856 on our page.

3. How to find GCD of 132, 713, 755, 856 on a calculator?

You can find the GCD of 132, 713, 755, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.