GCD of 533, 756, 704, 872 Calculator

Given Input numbers are 533, 756, 704, 872

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 533, 756, 704, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 756, 704, 872 is 1.

Therefore, GCD of numbers 533, 756, 704, 872 is 1

Given Input Data is 533, 756, 704, 872

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

Prime Factorization of 533 is 13 x 41

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(533, 756) = 402948

GCD(533, 756) = ( 533 x 756 ) / 402948

GCD(533, 756) = 402948 / 402948

GCD(533, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 533, 756, 704, 872 is 1

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1. What is the GCD of 533, 756, 704, 872?

GCD of 533, 756, 704, 872 is 1

2. Where do I get the detailed procedure to find GCD of 533, 756, 704, 872?

You can find a detailed procedure to find GCD of 533, 756, 704, 872 on our page.

3. How to find GCD of 533, 756, 704, 872 on a calculator?

You can find the GCD of 533, 756, 704, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.