GCD of 636, 435, 189, 552 Calculator

Given Input numbers are 636, 435, 189, 552

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 636, 435, 189, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 435, 189, 552 is 3.

Therefore, GCD of numbers 636, 435, 189, 552 is 3

Given Input Data is 636, 435, 189, 552

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(636, 435) = 92220

GCD(636, 435) = ( 636 x 435 ) / 92220

GCD(636, 435) = 276660 / 92220

GCD(636, 435) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 189

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

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

GCD(3, 189) = 567 / 189

GCD(3, 189) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 552

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

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

GCD(3, 552) = 1656 / 552

GCD(3, 552) = 3

GCD of 636, 435, 189, 552 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 964, 703, 993
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• GCD of 745, 192, 630, 356

1. What is the GCD of 636, 435, 189, 552?

GCD of 636, 435, 189, 552 is 3

2. Where do I get the detailed procedure to find GCD of 636, 435, 189, 552?

You can find a detailed procedure to find GCD of 636, 435, 189, 552 on our page.

3. How to find GCD of 636, 435, 189, 552 on a calculator?

You can find the GCD of 636, 435, 189, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.