GCD of 894, 741, 15, 460 Calculator

Given Input numbers are 894, 741, 15, 460

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 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 894, 741, 15, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 741, 15, 460 is 1.

Therefore, GCD of numbers 894, 741, 15, 460 is 1

Given Input Data is 894, 741, 15, 460

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 741 is 3 x 13 x 19

Prime Factorization of 15 is 3 x 5

Prime Factorization of 460 is 2 x 2 x 5 x 23

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, 741) = 220818

GCD(894, 741) = ( 894 x 741 ) / 220818

GCD(894, 741) = 662454 / 220818

GCD(894, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 460

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

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

GCD(3, 460) = 1380 / 1380

GCD(3, 460) = 1

GCD of 894, 741, 15, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 843, 48, 792
• GCD of 159, 560, 81, 847
• GCD of 151, 607, 36, 843
• GCD of 860, 147, 12, 544
• GCD of 838, 540, 42, 986

1. What is the GCD of 894, 741, 15, 460?

GCD of 894, 741, 15, 460 is 1

2. Where do I get the detailed procedure to find GCD of 894, 741, 15, 460?

You can find a detailed procedure to find GCD of 894, 741, 15, 460 on our page.

3. How to find GCD of 894, 741, 15, 460 on a calculator?

You can find the GCD of 894, 741, 15, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.