GCD of 659, 892, 133, 156 Calculator

Given Input numbers are 659, 892, 133, 156

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 133

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

1, 7, 19, 133

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 659, 892, 133, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 892, 133, 156 is 1.

Therefore, GCD of numbers 659, 892, 133, 156 is 1

Given Input Data is 659, 892, 133, 156

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

Prime Factorization of 659 is 659

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 133 is 7 x 19

Prime Factorization of 156 is 2 x 2 x 3 x 13

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(659, 892) = 587828

GCD(659, 892) = ( 659 x 892 ) / 587828

GCD(659, 892) = 587828 / 587828

GCD(659, 892) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

GCD of 659, 892, 133, 156 is 1

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1. What is the GCD of 659, 892, 133, 156?

GCD of 659, 892, 133, 156 is 1

2. Where do I get the detailed procedure to find GCD of 659, 892, 133, 156?

You can find a detailed procedure to find GCD of 659, 892, 133, 156 on our page.

3. How to find GCD of 659, 892, 133, 156 on a calculator?

You can find the GCD of 659, 892, 133, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.