GCD of 730, 355, 85, 737 Calculator

Given Input numbers are 730, 355, 85, 737

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

Divisors of 730

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

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 730, 355, 85, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 355, 85, 737 is 1.

Therefore, GCD of numbers 730, 355, 85, 737 is 1

Given Input Data is 730, 355, 85, 737

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 355 is 5 x 71

Prime Factorization of 85 is 5 x 17

Prime Factorization of 737 is 11 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(730, 355) = 51830

GCD(730, 355) = ( 730 x 355 ) / 51830

GCD(730, 355) = 259150 / 51830

GCD(730, 355) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 85

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

LCM(5, 85) = 85

GCD(5, 85) = ( 5 x 85 ) / 85

GCD(5, 85) = 425 / 85

GCD(5, 85) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 737

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

LCM(5, 737) = 3685

GCD(5, 737) = ( 5 x 737 ) / 3685

GCD(5, 737) = 3685 / 3685

GCD(5, 737) = 1

GCD of 730, 355, 85, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 406, 88, 965
• GCD of 716, 144, 97, 465
• GCD of 321, 493, 36, 273
• GCD of 962, 898, 75, 787
• GCD of 113, 151, 92, 464

1. What is the GCD of 730, 355, 85, 737?

GCD of 730, 355, 85, 737 is 1

2. Where do I get the detailed procedure to find GCD of 730, 355, 85, 737?

You can find a detailed procedure to find GCD of 730, 355, 85, 737 on our page.

3. How to find GCD of 730, 355, 85, 737 on a calculator?

You can find the GCD of 730, 355, 85, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.