GCD of 730, 755, 70, 589 Calculator

Given Input numbers are 730, 755, 70, 589

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 730, 755, 70, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 755, 70, 589 is 1.

Therefore, GCD of numbers 730, 755, 70, 589 is 1

Given Input Data is 730, 755, 70, 589

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 755 is 5 x 151

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 589 is 19 x 31

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, 755) = 110230

GCD(730, 755) = ( 730 x 755 ) / 110230

GCD(730, 755) = 551150 / 110230

GCD(730, 755) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 70

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

LCM(5, 70) = 70

GCD(5, 70) = ( 5 x 70 ) / 70

GCD(5, 70) = 350 / 70

GCD(5, 70) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 589

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

LCM(5, 589) = 2945

GCD(5, 589) = ( 5 x 589 ) / 2945

GCD(5, 589) = 2945 / 2945

GCD(5, 589) = 1

GCD of 730, 755, 70, 589 is 1

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• GCD of 448, 272, 17, 393
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• GCD of 880, 519, 63, 539

1. What is the GCD of 730, 755, 70, 589?

GCD of 730, 755, 70, 589 is 1

2. Where do I get the detailed procedure to find GCD of 730, 755, 70, 589?

You can find a detailed procedure to find GCD of 730, 755, 70, 589 on our page.

3. How to find GCD of 730, 755, 70, 589 on a calculator?

You can find the GCD of 730, 755, 70, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.