GCD of 825, 738, 622, 552 Calculator

Given Input numbers are 825, 738, 622, 552

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

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 825, 738, 622, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 738, 622, 552 is 1.

Therefore, GCD of numbers 825, 738, 622, 552 is 1

Given Input Data is 825, 738, 622, 552

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 622 is 2 x 311

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

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(825, 738) = 202950

GCD(825, 738) = ( 825 x 738 ) / 202950

GCD(825, 738) = 608850 / 202950

GCD(825, 738) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 622

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

LCM(3, 622) = 1866

GCD(3, 622) = ( 3 x 622 ) / 1866

GCD(3, 622) = 1866 / 1866

GCD(3, 622) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 825, 738, 622, 552 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 541, 695, 233
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• GCD of 721, 990, 575, 998
• GCD of 738, 960, 334, 577

1. What is the GCD of 825, 738, 622, 552?

GCD of 825, 738, 622, 552 is 1

2. Where do I get the detailed procedure to find GCD of 825, 738, 622, 552?

You can find a detailed procedure to find GCD of 825, 738, 622, 552 on our page.

3. How to find GCD of 825, 738, 622, 552 on a calculator?

You can find the GCD of 825, 738, 622, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.