GCD of 372, 516, 805, 645 Calculator

Given Input numbers are 372, 516, 805, 645

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 645

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

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

Greatest Common Divisior

We found the divisors of 372, 516, 805, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 516, 805, 645 is 1.

Therefore, GCD of numbers 372, 516, 805, 645 is 1

Given Input Data is 372, 516, 805, 645

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 645 is 3 x 5 x 43

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(372, 516) = 15996

GCD(372, 516) = ( 372 x 516 ) / 15996

GCD(372, 516) = 191952 / 15996

GCD(372, 516) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 805

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

LCM(12, 805) = 9660

GCD(12, 805) = ( 12 x 805 ) / 9660

GCD(12, 805) = 9660 / 9660

GCD(12, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 372, 516, 805, 645 is 1

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1. What is the GCD of 372, 516, 805, 645?

GCD of 372, 516, 805, 645 is 1

2. Where do I get the detailed procedure to find GCD of 372, 516, 805, 645?

You can find a detailed procedure to find GCD of 372, 516, 805, 645 on our page.

3. How to find GCD of 372, 516, 805, 645 on a calculator?

You can find the GCD of 372, 516, 805, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.