GCD of 45, 123, 729, 938 Calculator

Given Input numbers are 45, 123, 729, 938

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 45, 123, 729, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 123, 729, 938 is 1.

Therefore, GCD of numbers 45, 123, 729, 938 is 1

Given Input Data is 45, 123, 729, 938

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 123 is 3 x 41

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 938 is 2 x 7 x 67

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, 123) = 1845

GCD(45, 123) = ( 45 x 123 ) / 1845

GCD(45, 123) = 5535 / 1845

GCD(45, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 729

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

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

GCD(3, 729) = 2187 / 729

GCD(3, 729) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 938

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

LCM(3, 938) = 2814

GCD(3, 938) = ( 3 x 938 ) / 2814

GCD(3, 938) = 2814 / 2814

GCD(3, 938) = 1

GCD of 45, 123, 729, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 974, 271, 879
• GCD of 64, 502, 687, 504
• GCD of 81, 518, 835, 911
• GCD of 81, 738, 445, 737
• GCD of 91, 265, 971, 337

1. What is the GCD of 45, 123, 729, 938?

GCD of 45, 123, 729, 938 is 1

2. Where do I get the detailed procedure to find GCD of 45, 123, 729, 938?

You can find a detailed procedure to find GCD of 45, 123, 729, 938 on our page.

3. How to find GCD of 45, 123, 729, 938 on a calculator?

You can find the GCD of 45, 123, 729, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.