GCD of 894, 401, 75, 144 Calculator

Given Input numbers are 894, 401, 75, 144

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 401

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

1, 401

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 894, 401, 75, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 401, 75, 144 is 1.

Therefore, GCD of numbers 894, 401, 75, 144 is 1

Given Input Data is 894, 401, 75, 144

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 401 is 401

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(894, 401) = 358494

GCD(894, 401) = ( 894 x 401 ) / 358494

GCD(894, 401) = 358494 / 358494

GCD(894, 401) = 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 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 894, 401, 75, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 832, 21, 236
• GCD of 606, 354, 89, 358
• GCD of 854, 677, 51, 129
• GCD of 324, 330, 27, 662
• GCD of 159, 908, 85, 735

1. What is the GCD of 894, 401, 75, 144?

GCD of 894, 401, 75, 144 is 1

2. Where do I get the detailed procedure to find GCD of 894, 401, 75, 144?

You can find a detailed procedure to find GCD of 894, 401, 75, 144 on our page.

3. How to find GCD of 894, 401, 75, 144 on a calculator?

You can find the GCD of 894, 401, 75, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.