GCD of 198, 150, 35, 503 Calculator

Given Input numbers are 198, 150, 35, 503

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

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 198, 150, 35, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 150, 35, 503 is 1.

Therefore, GCD of numbers 198, 150, 35, 503 is 1

Given Input Data is 198, 150, 35, 503

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

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 35 is 5 x 7

Prime Factorization of 503 is 503

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(198, 150) = 4950

GCD(198, 150) = ( 198 x 150 ) / 4950

GCD(198, 150) = 29700 / 4950

GCD(198, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 35

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

LCM(6, 35) = 210

GCD(6, 35) = ( 6 x 35 ) / 210

GCD(6, 35) = 210 / 210

GCD(6, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 503

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

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

GCD(1, 503) = 503 / 503

GCD(1, 503) = 1

GCD of 198, 150, 35, 503 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 534, 68, 332
• GCD of 287, 692, 71, 487
• GCD of 365, 739, 71, 348
• GCD of 371, 203, 28, 507
• GCD of 369, 186, 99, 211

1. What is the GCD of 198, 150, 35, 503?

GCD of 198, 150, 35, 503 is 1

2. Where do I get the detailed procedure to find GCD of 198, 150, 35, 503?

You can find a detailed procedure to find GCD of 198, 150, 35, 503 on our page.

3. How to find GCD of 198, 150, 35, 503 on a calculator?

You can find the GCD of 198, 150, 35, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.