GCD of 321, 861, 75, 121 Calculator

Given Input numbers are 321, 861, 75, 121

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 321, 861, 75, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 861, 75, 121 is 1.

Therefore, GCD of numbers 321, 861, 75, 121 is 1

Given Input Data is 321, 861, 75, 121

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 121 is 11 x 11

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(321, 861) = 92127

GCD(321, 861) = ( 321 x 861 ) / 92127

GCD(321, 861) = 276381 / 92127

GCD(321, 861) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 121

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

LCM(3, 121) = 363

GCD(3, 121) = ( 3 x 121 ) / 363

GCD(3, 121) = 363 / 363

GCD(3, 121) = 1

GCD of 321, 861, 75, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 454, 52, 673
• GCD of 349, 600, 67, 311
• GCD of 843, 507, 72, 953
• GCD of 892, 988, 27, 889
• GCD of 778, 360, 22, 915

1. What is the GCD of 321, 861, 75, 121?

GCD of 321, 861, 75, 121 is 1

2. Where do I get the detailed procedure to find GCD of 321, 861, 75, 121?

You can find a detailed procedure to find GCD of 321, 861, 75, 121 on our page.

3. How to find GCD of 321, 861, 75, 121 on a calculator?

You can find the GCD of 321, 861, 75, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.