GCD of 894, 268, 478, 731 Calculator

Given Input numbers are 894, 268, 478, 731

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 894, 268, 478, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 268, 478, 731 is 1.

Therefore, GCD of numbers 894, 268, 478, 731 is 1

Given Input Data is 894, 268, 478, 731

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 268 is 2 x 2 x 67

Prime Factorization of 478 is 2 x 239

Prime Factorization of 731 is 17 x 43

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, 268) = 119796

GCD(894, 268) = ( 894 x 268 ) / 119796

GCD(894, 268) = 239592 / 119796

GCD(894, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

GCD of 894, 268, 478, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 981, 552, 757
• GCD of 489, 621, 235, 302
• GCD of 428, 450, 737, 778
• GCD of 104, 498, 195, 494
• GCD of 164, 488, 331, 820

1. What is the GCD of 894, 268, 478, 731?

GCD of 894, 268, 478, 731 is 1

2. Where do I get the detailed procedure to find GCD of 894, 268, 478, 731?

You can find a detailed procedure to find GCD of 894, 268, 478, 731 on our page.

3. How to find GCD of 894, 268, 478, 731 on a calculator?

You can find the GCD of 894, 268, 478, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.