GCD of 823, 312, 656, 736 Calculator

Given Input numbers are 823, 312, 656, 736

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

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 823, 312, 656, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 312, 656, 736 is 1.

Therefore, GCD of numbers 823, 312, 656, 736 is 1

Given Input Data is 823, 312, 656, 736

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

Prime Factorization of 823 is 823

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 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(823, 312) = 256776

GCD(823, 312) = ( 823 x 312 ) / 256776

GCD(823, 312) = 256776 / 256776

GCD(823, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 823, 312, 656, 736 is 1

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1. What is the GCD of 823, 312, 656, 736?

GCD of 823, 312, 656, 736 is 1

2. Where do I get the detailed procedure to find GCD of 823, 312, 656, 736?

You can find a detailed procedure to find GCD of 823, 312, 656, 736 on our page.

3. How to find GCD of 823, 312, 656, 736 on a calculator?

You can find the GCD of 823, 312, 656, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.