GCD of 825, 852, 945 Calculator

Given Input numbers are 825, 852, 945

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 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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 825, 852, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 852, 945 is 3.

Therefore, GCD of numbers 825, 852, 945 is 3

Given Input Data is 825, 852, 945

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 852 is 2 x 2 x 3 x 71

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(825, 852) = 234300

GCD(825, 852) = ( 825 x 852 ) / 234300

GCD(825, 852) = 702900 / 234300

GCD(825, 852) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 945

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

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

GCD(3, 945) = 2835 / 945

GCD(3, 945) = 3

GCD of 825, 852, 945 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 784, 191
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• GCD of 464, 206, 977
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1. What is the GCD of 825, 852, 945?

GCD of 825, 852, 945 is 3

2. Where do I get the detailed procedure to find GCD of 825, 852, 945?

You can find a detailed procedure to find GCD of 825, 852, 945 on our page.

3. How to find GCD of 825, 852, 945 on a calculator?

You can find the GCD of 825, 852, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.