GCD of 130, 532, 823, 633 Calculator

Given Input numbers are 130, 532, 823, 633

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 130, 532, 823, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 532, 823, 633 is 1.

Therefore, GCD of numbers 130, 532, 823, 633 is 1

Given Input Data is 130, 532, 823, 633

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 823 is 823

Prime Factorization of 633 is 3 x 211

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(130, 532) = 34580

GCD(130, 532) = ( 130 x 532 ) / 34580

GCD(130, 532) = 69160 / 34580

GCD(130, 532) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 823

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

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

GCD(2, 823) = 1646 / 1646

GCD(2, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

GCD of 130, 532, 823, 633 is 1

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1. What is the GCD of 130, 532, 823, 633?

GCD of 130, 532, 823, 633 is 1

2. Where do I get the detailed procedure to find GCD of 130, 532, 823, 633?

You can find a detailed procedure to find GCD of 130, 532, 823, 633 on our page.

3. How to find GCD of 130, 532, 823, 633 on a calculator?

You can find the GCD of 130, 532, 823, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.