GCD of 561, 702, 52, 198 Calculator

Given Input numbers are 561, 702, 52, 198

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 561, 702, 52, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 702, 52, 198 is 1.

Therefore, GCD of numbers 561, 702, 52, 198 is 1

Given Input Data is 561, 702, 52, 198

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 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 198 is 2 x 3 x 3 x 11

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, 702) = 131274

GCD(561, 702) = ( 561 x 702 ) / 131274

GCD(561, 702) = 393822 / 131274

GCD(561, 702) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 52

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

LCM(3, 52) = 156

GCD(3, 52) = ( 3 x 52 ) / 156

GCD(3, 52) = 156 / 156

GCD(3, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 561, 702, 52, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 928, 96, 317
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• GCD of 700, 139, 44, 554

1. What is the GCD of 561, 702, 52, 198?

GCD of 561, 702, 52, 198 is 1

2. Where do I get the detailed procedure to find GCD of 561, 702, 52, 198?

You can find a detailed procedure to find GCD of 561, 702, 52, 198 on our page.

3. How to find GCD of 561, 702, 52, 198 on a calculator?

You can find the GCD of 561, 702, 52, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.