GCD of 945, 633, 855 Calculator

Given Input numbers are 945, 633, 855

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

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 945, 633, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 633, 855 is 3.

Therefore, GCD of numbers 945, 633, 855 is 3

Given Input Data is 945, 633, 855

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

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

Prime Factorization of 633 is 3 x 211

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(945, 633) = 199395

GCD(945, 633) = ( 945 x 633 ) / 199395

GCD(945, 633) = 598185 / 199395

GCD(945, 633) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 855

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

LCM(3, 855) = 855

GCD(3, 855) = ( 3 x 855 ) / 855

GCD(3, 855) = 2565 / 855

GCD(3, 855) = 3

GCD of 945, 633, 855 is 3

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1. What is the GCD of 945, 633, 855?

GCD of 945, 633, 855 is 3

2. Where do I get the detailed procedure to find GCD of 945, 633, 855?

You can find a detailed procedure to find GCD of 945, 633, 855 on our page.

3. How to find GCD of 945, 633, 855 on a calculator?

You can find the GCD of 945, 633, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.