GCD of 232, 548, 756, 659 Calculator

Given Input numbers are 232, 548, 756, 659

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 659

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

1, 659

Greatest Common Divisior

We found the divisors of 232, 548, 756, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 548, 756, 659 is 1.

Therefore, GCD of numbers 232, 548, 756, 659 is 1

Given Input Data is 232, 548, 756, 659

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 659 is 659

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(232, 548) = 31784

GCD(232, 548) = ( 232 x 548 ) / 31784

GCD(232, 548) = 127136 / 31784

GCD(232, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 756

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

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

GCD(4, 756) = 3024 / 756

GCD(4, 756) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 659

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

LCM(4, 659) = 2636

GCD(4, 659) = ( 4 x 659 ) / 2636

GCD(4, 659) = 2636 / 2636

GCD(4, 659) = 1

GCD of 232, 548, 756, 659 is 1

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1. What is the GCD of 232, 548, 756, 659?

GCD of 232, 548, 756, 659 is 1

2. Where do I get the detailed procedure to find GCD of 232, 548, 756, 659?

You can find a detailed procedure to find GCD of 232, 548, 756, 659 on our page.

3. How to find GCD of 232, 548, 756, 659 on a calculator?

You can find the GCD of 232, 548, 756, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.