GCD of 131, 708, 36, 712 Calculator

Given Input numbers are 131, 708, 36, 712

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 131, 708, 36, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 708, 36, 712 is 1.

Therefore, GCD of numbers 131, 708, 36, 712 is 1

Given Input Data is 131, 708, 36, 712

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

Prime Factorization of 131 is 131

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(131, 708) = 92748

GCD(131, 708) = ( 131 x 708 ) / 92748

GCD(131, 708) = 92748 / 92748

GCD(131, 708) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 131, 708, 36, 712 is 1

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1. What is the GCD of 131, 708, 36, 712?

GCD of 131, 708, 36, 712 is 1

2. Where do I get the detailed procedure to find GCD of 131, 708, 36, 712?

You can find a detailed procedure to find GCD of 131, 708, 36, 712 on our page.

3. How to find GCD of 131, 708, 36, 712 on a calculator?

You can find the GCD of 131, 708, 36, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.