GCD of 232, 870, 697, 659 Calculator

Given Input numbers are 232, 870, 697, 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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

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, 870, 697, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 870, 697, 659 is 1.

Therefore, GCD of numbers 232, 870, 697, 659 is 1

Given Input Data is 232, 870, 697, 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 870 is 2 x 3 x 5 x 29

Prime Factorization of 697 is 17 x 41

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, 870) = 3480

GCD(232, 870) = ( 232 x 870 ) / 3480

GCD(232, 870) = 201840 / 3480

GCD(232, 870) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 697

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

LCM(58, 697) = 40426

GCD(58, 697) = ( 58 x 697 ) / 40426

GCD(58, 697) = 40426 / 40426

GCD(58, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 232, 870, 697, 659 is 1

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1. What is the GCD of 232, 870, 697, 659?

GCD of 232, 870, 697, 659 is 1

2. Where do I get the detailed procedure to find GCD of 232, 870, 697, 659?

You can find a detailed procedure to find GCD of 232, 870, 697, 659 on our page.

3. How to find GCD of 232, 870, 697, 659 on a calculator?

You can find the GCD of 232, 870, 697, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.