GCD of 894, 144, 36, 925 Calculator

Given Input numbers are 894, 144, 36, 925

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 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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 894, 144, 36, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 144, 36, 925 is 1.

Therefore, GCD of numbers 894, 144, 36, 925 is 1

Given Input Data is 894, 144, 36, 925

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 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 925 is 5 x 5 x 37

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, 144) = 21456

GCD(894, 144) = ( 894 x 144 ) / 21456

GCD(894, 144) = 128736 / 21456

GCD(894, 144) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 36

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

LCM(6, 36) = 36

GCD(6, 36) = ( 6 x 36 ) / 36

GCD(6, 36) = 216 / 36

GCD(6, 36) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 925

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

LCM(6, 925) = 5550

GCD(6, 925) = ( 6 x 925 ) / 5550

GCD(6, 925) = 5550 / 5550

GCD(6, 925) = 1

GCD of 894, 144, 36, 925 is 1

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• GCD of 871, 368, 83, 131
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1. What is the GCD of 894, 144, 36, 925?

GCD of 894, 144, 36, 925 is 1

2. Where do I get the detailed procedure to find GCD of 894, 144, 36, 925?

You can find a detailed procedure to find GCD of 894, 144, 36, 925 on our page.

3. How to find GCD of 894, 144, 36, 925 on a calculator?

You can find the GCD of 894, 144, 36, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.