GCD of 645, 853, 916 Calculator

Given Input numbers are 645, 853, 916

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 645, 853, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 853, 916 is 1.

Therefore, GCD of numbers 645, 853, 916 is 1

Given Input Data is 645, 853, 916

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 853 is 853

Prime Factorization of 916 is 2 x 2 x 229

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(645, 853) = 550185

GCD(645, 853) = ( 645 x 853 ) / 550185

GCD(645, 853) = 550185 / 550185

GCD(645, 853) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 645, 853, 916 is 1

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1. What is the GCD of 645, 853, 916?

GCD of 645, 853, 916 is 1

2. Where do I get the detailed procedure to find GCD of 645, 853, 916?

You can find a detailed procedure to find GCD of 645, 853, 916 on our page.

3. How to find GCD of 645, 853, 916 on a calculator?

You can find the GCD of 645, 853, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.