GCD of 561, 998, 668, 269 Calculator

Given Input numbers are 561, 998, 668, 269

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 561, 998, 668, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 998, 668, 269 is 1.

Therefore, GCD of numbers 561, 998, 668, 269 is 1

Given Input Data is 561, 998, 668, 269

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 998 is 2 x 499

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 269 is 269

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, 998) = 559878

GCD(561, 998) = ( 561 x 998 ) / 559878

GCD(561, 998) = 559878 / 559878

GCD(561, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 561, 998, 668, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 531, 577, 308
• GCD of 590, 296, 323, 922
• GCD of 618, 501, 738, 154
• GCD of 778, 455, 608, 242
• GCD of 633, 391, 668, 626

1. What is the GCD of 561, 998, 668, 269?

GCD of 561, 998, 668, 269 is 1

2. Where do I get the detailed procedure to find GCD of 561, 998, 668, 269?

You can find a detailed procedure to find GCD of 561, 998, 668, 269 on our page.

3. How to find GCD of 561, 998, 668, 269 on a calculator?

You can find the GCD of 561, 998, 668, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.