GCD of 852, 558, 87, 733 Calculator

Given Input numbers are 852, 558, 87, 733

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 852, 558, 87, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 558, 87, 733 is 1.

Therefore, GCD of numbers 852, 558, 87, 733 is 1

Given Input Data is 852, 558, 87, 733

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 87 is 3 x 29

Prime Factorization of 733 is 733

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(852, 558) = 79236

GCD(852, 558) = ( 852 x 558 ) / 79236

GCD(852, 558) = 475416 / 79236

GCD(852, 558) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 87

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

LCM(6, 87) = 174

GCD(6, 87) = ( 6 x 87 ) / 174

GCD(6, 87) = 522 / 174

GCD(6, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 733

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

LCM(3, 733) = 2199

GCD(3, 733) = ( 3 x 733 ) / 2199

GCD(3, 733) = 2199 / 2199

GCD(3, 733) = 1

GCD of 852, 558, 87, 733 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 396, 42, 966
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• GCD of 396, 499, 22, 805

1. What is the GCD of 852, 558, 87, 733?

GCD of 852, 558, 87, 733 is 1

2. Where do I get the detailed procedure to find GCD of 852, 558, 87, 733?

You can find a detailed procedure to find GCD of 852, 558, 87, 733 on our page.

3. How to find GCD of 852, 558, 87, 733 on a calculator?

You can find the GCD of 852, 558, 87, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.