GCD of 507, 849, 658, 198 Calculator

Given Input numbers are 507, 849, 658, 198

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 507, 849, 658, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 849, 658, 198 is 1.

Therefore, GCD of numbers 507, 849, 658, 198 is 1

Given Input Data is 507, 849, 658, 198

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 849 is 3 x 283

Prime Factorization of 658 is 2 x 7 x 47

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(507, 849) = 143481

GCD(507, 849) = ( 507 x 849 ) / 143481

GCD(507, 849) = 430443 / 143481

GCD(507, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 658

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

LCM(3, 658) = 1974

GCD(3, 658) = ( 3 x 658 ) / 1974

GCD(3, 658) = 1974 / 1974

GCD(3, 658) = 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 507, 849, 658, 198 is 1

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1. What is the GCD of 507, 849, 658, 198?

GCD of 507, 849, 658, 198 is 1

2. Where do I get the detailed procedure to find GCD of 507, 849, 658, 198?

You can find a detailed procedure to find GCD of 507, 849, 658, 198 on our page.

3. How to find GCD of 507, 849, 658, 198 on a calculator?

You can find the GCD of 507, 849, 658, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.