GCD of 678, 972, 30, 401 Calculator

Given Input numbers are 678, 972, 30, 401

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 678, 972, 30, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 972, 30, 401 is 1.

Therefore, GCD of numbers 678, 972, 30, 401 is 1

Given Input Data is 678, 972, 30, 401

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 401 is 401

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(678, 972) = 109836

GCD(678, 972) = ( 678 x 972 ) / 109836

GCD(678, 972) = 659016 / 109836

GCD(678, 972) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 30

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

LCM(6, 30) = 30

GCD(6, 30) = ( 6 x 30 ) / 30

GCD(6, 30) = 180 / 30

GCD(6, 30) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 401

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

LCM(6, 401) = 2406

GCD(6, 401) = ( 6 x 401 ) / 2406

GCD(6, 401) = 2406 / 2406

GCD(6, 401) = 1

GCD of 678, 972, 30, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 859, 35, 403
• GCD of 723, 180, 42, 431
• GCD of 639, 681, 70, 557
• GCD of 653, 794, 51, 584
• GCD of 250, 772, 19, 547

1. What is the GCD of 678, 972, 30, 401?

GCD of 678, 972, 30, 401 is 1

2. Where do I get the detailed procedure to find GCD of 678, 972, 30, 401?

You can find a detailed procedure to find GCD of 678, 972, 30, 401 on our page.

3. How to find GCD of 678, 972, 30, 401 on a calculator?

You can find the GCD of 678, 972, 30, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.