GCD of 675, 869, 322 Calculator

Given Input numbers are 675, 869, 322

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 869

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

1, 11, 79, 869

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 675, 869, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 869, 322 is 1.

Therefore, GCD of numbers 675, 869, 322 is 1

Given Input Data is 675, 869, 322

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 869 is 11 x 79

Prime Factorization of 322 is 2 x 7 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(675, 869) = 586575

GCD(675, 869) = ( 675 x 869 ) / 586575

GCD(675, 869) = 586575 / 586575

GCD(675, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 675, 869, 322 is 1

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1. What is the GCD of 675, 869, 322?

GCD of 675, 869, 322 is 1

2. Where do I get the detailed procedure to find GCD of 675, 869, 322?

You can find a detailed procedure to find GCD of 675, 869, 322 on our page.

3. How to find GCD of 675, 869, 322 on a calculator?

You can find the GCD of 675, 869, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.