GCD of 869, 690, 717, 664 Calculator

Given Input numbers are 869, 690, 717, 664

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 869, 690, 717, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 690, 717, 664 is 1.

Therefore, GCD of numbers 869, 690, 717, 664 is 1

Given Input Data is 869, 690, 717, 664

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 717 is 3 x 239

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(869, 690) = 599610

GCD(869, 690) = ( 869 x 690 ) / 599610

GCD(869, 690) = 599610 / 599610

GCD(869, 690) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 869, 690, 717, 664 is 1

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1. What is the GCD of 869, 690, 717, 664?

GCD of 869, 690, 717, 664 is 1

2. Where do I get the detailed procedure to find GCD of 869, 690, 717, 664?

You can find a detailed procedure to find GCD of 869, 690, 717, 664 on our page.

3. How to find GCD of 869, 690, 717, 664 on a calculator?

You can find the GCD of 869, 690, 717, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.