GCD of 108, 749, 58, 730 Calculator

Given Input numbers are 108, 749, 58, 730

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 108, 749, 58, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 749, 58, 730 is 1.

Therefore, GCD of numbers 108, 749, 58, 730 is 1

Given Input Data is 108, 749, 58, 730

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 749 is 7 x 107

Prime Factorization of 58 is 2 x 29

Prime Factorization of 730 is 2 x 5 x 73

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(108, 749) = 80892

GCD(108, 749) = ( 108 x 749 ) / 80892

GCD(108, 749) = 80892 / 80892

GCD(108, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 108, 749, 58, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 150, 97, 553
• GCD of 729, 773, 94, 860
• GCD of 463, 172, 79, 166
• GCD of 773, 205, 10, 312
• GCD of 215, 597, 48, 245

1. What is the GCD of 108, 749, 58, 730?

GCD of 108, 749, 58, 730 is 1

2. Where do I get the detailed procedure to find GCD of 108, 749, 58, 730?

You can find a detailed procedure to find GCD of 108, 749, 58, 730 on our page.

3. How to find GCD of 108, 749, 58, 730 on a calculator?

You can find the GCD of 108, 749, 58, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.