GCD of 918, 470, 685, 570 Calculator

Given Input numbers are 918, 470, 685, 570

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

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 918, 470, 685, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 470, 685, 570 is 1.

Therefore, GCD of numbers 918, 470, 685, 570 is 1

Given Input Data is 918, 470, 685, 570

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 685 is 5 x 137

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

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(918, 470) = 215730

GCD(918, 470) = ( 918 x 470 ) / 215730

GCD(918, 470) = 431460 / 215730

GCD(918, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 685

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

LCM(2, 685) = 1370

GCD(2, 685) = ( 2 x 685 ) / 1370

GCD(2, 685) = 1370 / 1370

GCD(2, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 570

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

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

GCD(1, 570) = 570 / 570

GCD(1, 570) = 1

GCD of 918, 470, 685, 570 is 1

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1. What is the GCD of 918, 470, 685, 570?

GCD of 918, 470, 685, 570 is 1

2. Where do I get the detailed procedure to find GCD of 918, 470, 685, 570?

You can find a detailed procedure to find GCD of 918, 470, 685, 570 on our page.

3. How to find GCD of 918, 470, 685, 570 on a calculator?

You can find the GCD of 918, 470, 685, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.