GCD of 894, 748, 65, 506 Calculator

Given Input numbers are 894, 748, 65, 506

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 894, 748, 65, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 748, 65, 506 is 1.

Therefore, GCD of numbers 894, 748, 65, 506 is 1

Given Input Data is 894, 748, 65, 506

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 748 is 2 x 2 x 11 x 17

Prime Factorization of 65 is 5 x 13

Prime Factorization of 506 is 2 x 11 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, 748) = 334356

GCD(894, 748) = ( 894 x 748 ) / 334356

GCD(894, 748) = 668712 / 334356

GCD(894, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 894, 748, 65, 506 is 1

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1. What is the GCD of 894, 748, 65, 506?

GCD of 894, 748, 65, 506 is 1

2. Where do I get the detailed procedure to find GCD of 894, 748, 65, 506?

You can find a detailed procedure to find GCD of 894, 748, 65, 506 on our page.

3. How to find GCD of 894, 748, 65, 506 on a calculator?

You can find the GCD of 894, 748, 65, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.