GCD of 123, 560, 837, 232 Calculator

Given Input numbers are 123, 560, 837, 232

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 232

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

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

Greatest Common Divisior

We found the divisors of 123, 560, 837, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 560, 837, 232 is 1.

Therefore, GCD of numbers 123, 560, 837, 232 is 1

Given Input Data is 123, 560, 837, 232

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 837 is 3 x 3 x 3 x 31

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

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(123, 560) = 68880

GCD(123, 560) = ( 123 x 560 ) / 68880

GCD(123, 560) = 68880 / 68880

GCD(123, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 837

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

LCM(1, 837) = 837

GCD(1, 837) = ( 1 x 837 ) / 837

GCD(1, 837) = 837 / 837

GCD(1, 837) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 123, 560, 837, 232 is 1

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1. What is the GCD of 123, 560, 837, 232?

GCD of 123, 560, 837, 232 is 1

2. Where do I get the detailed procedure to find GCD of 123, 560, 837, 232?

You can find a detailed procedure to find GCD of 123, 560, 837, 232 on our page.

3. How to find GCD of 123, 560, 837, 232 on a calculator?

You can find the GCD of 123, 560, 837, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.