GCD of 855, 705, 600 Calculator

Given Input numbers are 855, 705, 600

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

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 855, 705, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 705, 600 is 15.

Therefore, GCD of numbers 855, 705, 600 is 15

Given Input Data is 855, 705, 600

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

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 3¹ x 5¹

Multiplying them we get the GCD as 15

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(855, 705) = 40185

GCD(855, 705) = ( 855 x 705 ) / 40185

GCD(855, 705) = 602775 / 40185

GCD(855, 705) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 600

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

LCM(15, 600) = 600

GCD(15, 600) = ( 15 x 600 ) / 600

GCD(15, 600) = 9000 / 600

GCD(15, 600) = 15

GCD of 855, 705, 600 is 15

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• GCD of 916, 174, 738
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1. What is the GCD of 855, 705, 600?

GCD of 855, 705, 600 is 15

2. Where do I get the detailed procedure to find GCD of 855, 705, 600?

You can find a detailed procedure to find GCD of 855, 705, 600 on our page.

3. How to find GCD of 855, 705, 600 on a calculator?

You can find the GCD of 855, 705, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.