GCD of 364, 189, 870, 759 Calculator

Given Input numbers are 364, 189, 870, 759

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 364, 189, 870, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 189, 870, 759 is 1.

Therefore, GCD of numbers 364, 189, 870, 759 is 1

Given Input Data is 364, 189, 870, 759

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 189 is 3 x 3 x 3 x 7

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

Prime Factorization of 759 is 3 x 11 x 23

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(364, 189) = 9828

GCD(364, 189) = ( 364 x 189 ) / 9828

GCD(364, 189) = 68796 / 9828

GCD(364, 189) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 870

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

LCM(7, 870) = 6090

GCD(7, 870) = ( 7 x 870 ) / 6090

GCD(7, 870) = 6090 / 6090

GCD(7, 870) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 364, 189, 870, 759 is 1

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1. What is the GCD of 364, 189, 870, 759?

GCD of 364, 189, 870, 759 is 1

2. Where do I get the detailed procedure to find GCD of 364, 189, 870, 759?

You can find a detailed procedure to find GCD of 364, 189, 870, 759 on our page.

3. How to find GCD of 364, 189, 870, 759 on a calculator?

You can find the GCD of 364, 189, 870, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.