GCD of 730, 555, 975 Calculator

Given Input numbers are 730, 555, 975

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 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 730, 555, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 555, 975 is 5.

Therefore, GCD of numbers 730, 555, 975 is 5

Given Input Data is 730, 555, 975

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 555 is 3 x 5 x 37

Prime Factorization of 975 is 3 x 5 x 5 x 13

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 555) = 81030

GCD(730, 555) = ( 730 x 555 ) / 81030

GCD(730, 555) = 405150 / 81030

GCD(730, 555) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 975

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

LCM(5, 975) = 975

GCD(5, 975) = ( 5 x 975 ) / 975

GCD(5, 975) = 4875 / 975

GCD(5, 975) = 5

GCD of 730, 555, 975 is 5

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1. What is the GCD of 730, 555, 975?

GCD of 730, 555, 975 is 5

2. Where do I get the detailed procedure to find GCD of 730, 555, 975?

You can find a detailed procedure to find GCD of 730, 555, 975 on our page.

3. How to find GCD of 730, 555, 975 on a calculator?

You can find the GCD of 730, 555, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.