GCD of 527, 861, 198, 494 Calculator

Given Input numbers are 527, 861, 198, 494

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 527, 861, 198, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 861, 198, 494 is 1.

Therefore, GCD of numbers 527, 861, 198, 494 is 1

Given Input Data is 527, 861, 198, 494

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 861 is 3 x 7 x 41

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

Prime Factorization of 494 is 2 x 13 x 19

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(527, 861) = 453747

GCD(527, 861) = ( 527 x 861 ) / 453747

GCD(527, 861) = 453747 / 453747

GCD(527, 861) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 527, 861, 198, 494 is 1

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1. What is the GCD of 527, 861, 198, 494?

GCD of 527, 861, 198, 494 is 1

2. Where do I get the detailed procedure to find GCD of 527, 861, 198, 494?

You can find a detailed procedure to find GCD of 527, 861, 198, 494 on our page.

3. How to find GCD of 527, 861, 198, 494 on a calculator?

You can find the GCD of 527, 861, 198, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.