GCD of 561, 639, 996, 268 Calculator

Given Input numbers are 561, 639, 996, 268

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

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 268

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

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 561, 639, 996, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 639, 996, 268 is 1.

Therefore, GCD of numbers 561, 639, 996, 268 is 1

Given Input Data is 561, 639, 996, 268

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 639 is 3 x 3 x 71

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

Prime Factorization of 268 is 2 x 2 x 67

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(561, 639) = 119493

GCD(561, 639) = ( 561 x 639 ) / 119493

GCD(561, 639) = 358479 / 119493

GCD(561, 639) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 996

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

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

GCD(3, 996) = 2988 / 996

GCD(3, 996) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 268

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

LCM(3, 268) = 804

GCD(3, 268) = ( 3 x 268 ) / 804

GCD(3, 268) = 804 / 804

GCD(3, 268) = 1

GCD of 561, 639, 996, 268 is 1

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1. What is the GCD of 561, 639, 996, 268?

GCD of 561, 639, 996, 268 is 1

2. Where do I get the detailed procedure to find GCD of 561, 639, 996, 268?

You can find a detailed procedure to find GCD of 561, 639, 996, 268 on our page.

3. How to find GCD of 561, 639, 996, 268 on a calculator?

You can find the GCD of 561, 639, 996, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.