GCD of 730, 689, 32 Calculator

Given Input numbers are 730, 689, 32

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Greatest Common Divisior

We found the divisors of 730, 689, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 689, 32 is 1.

Therefore, GCD of numbers 730, 689, 32 is 1

Given Input Data is 730, 689, 32

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 689 is 13 x 53

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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, 689) = 502970

GCD(730, 689) = ( 730 x 689 ) / 502970

GCD(730, 689) = 502970 / 502970

GCD(730, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

GCD of 730, 689, 32 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 133, 28
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• GCD of 396, 202, 21
• GCD of 345, 365, 63
• GCD of 378, 292, 64

1. What is the GCD of 730, 689, 32?

GCD of 730, 689, 32 is 1

2. Where do I get the detailed procedure to find GCD of 730, 689, 32?

You can find a detailed procedure to find GCD of 730, 689, 32 on our page.

3. How to find GCD of 730, 689, 32 on a calculator?

You can find the GCD of 730, 689, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.