GCD of 321, 746, 179, 360 Calculator

Given Input numbers are 321, 746, 179, 360

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 321, 746, 179, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 746, 179, 360 is 1.

Therefore, GCD of numbers 321, 746, 179, 360 is 1

Given Input Data is 321, 746, 179, 360

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 746 is 2 x 373

Prime Factorization of 179 is 179

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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, 746) = 239466

GCD(321, 746) = ( 321 x 746 ) / 239466

GCD(321, 746) = 239466 / 239466

GCD(321, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 179

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

LCM(1, 179) = 179

GCD(1, 179) = ( 1 x 179 ) / 179

GCD(1, 179) = 179 / 179

GCD(1, 179) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 321, 746, 179, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 762, 455, 632
• GCD of 281, 264, 612, 120
• GCD of 363, 450, 526, 908
• GCD of 455, 612, 507, 726
• GCD of 319, 489, 349, 798

1. What is the GCD of 321, 746, 179, 360?

GCD of 321, 746, 179, 360 is 1

2. Where do I get the detailed procedure to find GCD of 321, 746, 179, 360?

You can find a detailed procedure to find GCD of 321, 746, 179, 360 on our page.

3. How to find GCD of 321, 746, 179, 360 on a calculator?

You can find the GCD of 321, 746, 179, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.