GCD of 322, 289, 75, 119 Calculator

Given Input numbers are 322, 289, 75, 119

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

Divisors of 322

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

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 322, 289, 75, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 289, 75, 119 is 1.

Therefore, GCD of numbers 322, 289, 75, 119 is 1

Given Input Data is 322, 289, 75, 119

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 289 is 17 x 17

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 119 is 7 x 17

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(322, 289) = 93058

GCD(322, 289) = ( 322 x 289 ) / 93058

GCD(322, 289) = 93058 / 93058

GCD(322, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 322, 289, 75, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 941, 42, 484
• GCD of 223, 188, 99, 617
• GCD of 810, 685, 49, 724
• GCD of 714, 993, 11, 538
• GCD of 617, 899, 91, 792

1. What is the GCD of 322, 289, 75, 119?

GCD of 322, 289, 75, 119 is 1

2. Where do I get the detailed procedure to find GCD of 322, 289, 75, 119?

You can find a detailed procedure to find GCD of 322, 289, 75, 119 on our page.

3. How to find GCD of 322, 289, 75, 119 on a calculator?

You can find the GCD of 322, 289, 75, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.