GCD of 595, 765, 870, 679 Calculator

Given Input numbers are 595, 765, 870, 679

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 595, 765, 870, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 765, 870, 679 is 1.

Therefore, GCD of numbers 595, 765, 870, 679 is 1

Given Input Data is 595, 765, 870, 679

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 679 is 7 x 97

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(595, 765) = 5355

GCD(595, 765) = ( 595 x 765 ) / 5355

GCD(595, 765) = 455175 / 5355

GCD(595, 765) = 85

Step2:

Here we consider the GCD from the above i.e. 85 as first number and the next as 870

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

LCM(85, 870) = 14790

GCD(85, 870) = ( 85 x 870 ) / 14790

GCD(85, 870) = 73950 / 14790

GCD(85, 870) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 679

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

LCM(5, 679) = 3395

GCD(5, 679) = ( 5 x 679 ) / 3395

GCD(5, 679) = 3395 / 3395

GCD(5, 679) = 1

GCD of 595, 765, 870, 679 is 1

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1. What is the GCD of 595, 765, 870, 679?

GCD of 595, 765, 870, 679 is 1

2. Where do I get the detailed procedure to find GCD of 595, 765, 870, 679?

You can find a detailed procedure to find GCD of 595, 765, 870, 679 on our page.

3. How to find GCD of 595, 765, 870, 679 on a calculator?

You can find the GCD of 595, 765, 870, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.