GCD of 750, 395, 77, 589 Calculator

Given Input numbers are 750, 395, 77, 589

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 750, 395, 77, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 395, 77, 589 is 1.

Therefore, GCD of numbers 750, 395, 77, 589 is 1

Given Input Data is 750, 395, 77, 589

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 395 is 5 x 79

Prime Factorization of 77 is 7 x 11

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(750, 395) = 59250

GCD(750, 395) = ( 750 x 395 ) / 59250

GCD(750, 395) = 296250 / 59250

GCD(750, 395) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 77

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

LCM(5, 77) = 385

GCD(5, 77) = ( 5 x 77 ) / 385

GCD(5, 77) = 385 / 385

GCD(5, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 750, 395, 77, 589 is 1

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• GCD of 456, 903, 55, 613
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1. What is the GCD of 750, 395, 77, 589?

GCD of 750, 395, 77, 589 is 1

2. Where do I get the detailed procedure to find GCD of 750, 395, 77, 589?

You can find a detailed procedure to find GCD of 750, 395, 77, 589 on our page.

3. How to find GCD of 750, 395, 77, 589 on a calculator?

You can find the GCD of 750, 395, 77, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.