GCD of 232, 174, 759, 330 Calculator

Given Input numbers are 232, 174, 759, 330

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 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 232, 174, 759, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 174, 759, 330 is 1.

Therefore, GCD of numbers 232, 174, 759, 330 is 1

Given Input Data is 232, 174, 759, 330

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 174 is 2 x 3 x 29

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 330 is 2 x 3 x 5 x 11

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, 174) = 696

GCD(232, 174) = ( 232 x 174 ) / 696

GCD(232, 174) = 40368 / 696

GCD(232, 174) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 759

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

LCM(58, 759) = 44022

GCD(58, 759) = ( 58 x 759 ) / 44022

GCD(58, 759) = 44022 / 44022

GCD(58, 759) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 232, 174, 759, 330 is 1

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• GCD of 993, 542, 390, 617
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• GCD of 981, 453, 189, 122

1. What is the GCD of 232, 174, 759, 330?

GCD of 232, 174, 759, 330 is 1

2. Where do I get the detailed procedure to find GCD of 232, 174, 759, 330?

You can find a detailed procedure to find GCD of 232, 174, 759, 330 on our page.

3. How to find GCD of 232, 174, 759, 330 on a calculator?

You can find the GCD of 232, 174, 759, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.