GCD of 642, 645, 23, 736 Calculator

Given Input numbers are 642, 645, 23, 736

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 642, 645, 23, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 645, 23, 736 is 1.

Therefore, GCD of numbers 642, 645, 23, 736 is 1

Given Input Data is 642, 645, 23, 736

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 23 is 23

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(642, 645) = 138030

GCD(642, 645) = ( 642 x 645 ) / 138030

GCD(642, 645) = 414090 / 138030

GCD(642, 645) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 642, 645, 23, 736 is 1

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1. What is the GCD of 642, 645, 23, 736?

GCD of 642, 645, 23, 736 is 1

2. Where do I get the detailed procedure to find GCD of 642, 645, 23, 736?

You can find a detailed procedure to find GCD of 642, 645, 23, 736 on our page.

3. How to find GCD of 642, 645, 23, 736 on a calculator?

You can find the GCD of 642, 645, 23, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.