GCD of 528, 759, 882, 872 Calculator

Given Input numbers are 528, 759, 882, 872

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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 528, 759, 882, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 759, 882, 872 is 1.

Therefore, GCD of numbers 528, 759, 882, 872 is 1

Given Input Data is 528, 759, 882, 872

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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(528, 759) = 12144

GCD(528, 759) = ( 528 x 759 ) / 12144

GCD(528, 759) = 400752 / 12144

GCD(528, 759) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 882

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

LCM(33, 882) = 9702

GCD(33, 882) = ( 33 x 882 ) / 9702

GCD(33, 882) = 29106 / 9702

GCD(33, 882) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 872

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

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

GCD(3, 872) = 2616 / 2616

GCD(3, 872) = 1

GCD of 528, 759, 882, 872 is 1

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1. What is the GCD of 528, 759, 882, 872?

GCD of 528, 759, 882, 872 is 1

2. Where do I get the detailed procedure to find GCD of 528, 759, 882, 872?

You can find a detailed procedure to find GCD of 528, 759, 882, 872 on our page.

3. How to find GCD of 528, 759, 882, 872 on a calculator?

You can find the GCD of 528, 759, 882, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.