GCD of 996, 610, 268, 823 Calculator

Given Input numbers are 996, 610, 268, 823

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 823

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

1, 823

Greatest Common Divisior

We found the divisors of 996, 610, 268, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 610, 268, 823 is 1.

Therefore, GCD of numbers 996, 610, 268, 823 is 1

Given Input Data is 996, 610, 268, 823

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 823 is 823

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(996, 610) = 303780

GCD(996, 610) = ( 996 x 610 ) / 303780

GCD(996, 610) = 607560 / 303780

GCD(996, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 268

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

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

GCD(2, 268) = 536 / 268

GCD(2, 268) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 823

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

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

GCD(2, 823) = 1646 / 1646

GCD(2, 823) = 1

GCD of 996, 610, 268, 823 is 1

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1. What is the GCD of 996, 610, 268, 823?

GCD of 996, 610, 268, 823 is 1

2. Where do I get the detailed procedure to find GCD of 996, 610, 268, 823?

You can find a detailed procedure to find GCD of 996, 610, 268, 823 on our page.

3. How to find GCD of 996, 610, 268, 823 on a calculator?

You can find the GCD of 996, 610, 268, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.