GCD of 88, 825, 552, 809 Calculator

Given Input numbers are 88, 825, 552, 809

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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 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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 88, 825, 552, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 825, 552, 809 is 1.

Therefore, GCD of numbers 88, 825, 552, 809 is 1

Given Input Data is 88, 825, 552, 809

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

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

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

Prime Factorization of 809 is 809

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(88, 825) = 6600

GCD(88, 825) = ( 88 x 825 ) / 6600

GCD(88, 825) = 72600 / 6600

GCD(88, 825) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 552

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

LCM(11, 552) = 6072

GCD(11, 552) = ( 11 x 552 ) / 6072

GCD(11, 552) = 6072 / 6072

GCD(11, 552) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 88, 825, 552, 809 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 210, 872, 411
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• GCD of 19, 602, 688, 327

1. What is the GCD of 88, 825, 552, 809?

GCD of 88, 825, 552, 809 is 1

2. Where do I get the detailed procedure to find GCD of 88, 825, 552, 809?

You can find a detailed procedure to find GCD of 88, 825, 552, 809 on our page.

3. How to find GCD of 88, 825, 552, 809 on a calculator?

You can find the GCD of 88, 825, 552, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.