GCD of 750, 660, 570 Calculator

Given Input numbers are 750, 660, 570

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 750, 660, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 660, 570 is 30.

Therefore, GCD of numbers 750, 660, 570 is 30

Given Input Data is 750, 660, 570

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 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 570 is 2 x 3 x 5 x 19

Highest common occurrences in the given inputs are 2¹ x 3¹ x 5¹

Multiplying them we get the GCD as 30

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, 660) = 16500

GCD(750, 660) = ( 750 x 660 ) / 16500

GCD(750, 660) = 495000 / 16500

GCD(750, 660) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 570

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

LCM(30, 570) = 570

GCD(30, 570) = ( 30 x 570 ) / 570

GCD(30, 570) = 17100 / 570

GCD(30, 570) = 30

GCD of 750, 660, 570 is 30

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 536, 621
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1. What is the GCD of 750, 660, 570?

GCD of 750, 660, 570 is 30

2. Where do I get the detailed procedure to find GCD of 750, 660, 570?

You can find a detailed procedure to find GCD of 750, 660, 570 on our page.

3. How to find GCD of 750, 660, 570 on a calculator?

You can find the GCD of 750, 660, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.