GCD of 45, 417, 726, 622 Calculator

Given Input numbers are 45, 417, 726, 622

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 45, 417, 726, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 417, 726, 622 is 1.

Therefore, GCD of numbers 45, 417, 726, 622 is 1

Given Input Data is 45, 417, 726, 622

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 417 is 3 x 139

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 622 is 2 x 311

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(45, 417) = 6255

GCD(45, 417) = ( 45 x 417 ) / 6255

GCD(45, 417) = 18765 / 6255

GCD(45, 417) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 726

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

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

GCD(3, 726) = 2178 / 726

GCD(3, 726) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 622

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

LCM(3, 622) = 1866

GCD(3, 622) = ( 3 x 622 ) / 1866

GCD(3, 622) = 1866 / 1866

GCD(3, 622) = 1

GCD of 45, 417, 726, 622 is 1

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1. What is the GCD of 45, 417, 726, 622?

GCD of 45, 417, 726, 622 is 1

2. Where do I get the detailed procedure to find GCD of 45, 417, 726, 622?

You can find a detailed procedure to find GCD of 45, 417, 726, 622 on our page.

3. How to find GCD of 45, 417, 726, 622 on a calculator?

You can find the GCD of 45, 417, 726, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.