GCD of 421, 503, 46, 198 Calculator

Given Input numbers are 421, 503, 46, 198

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 503

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

1, 503

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 421, 503, 46, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 503, 46, 198 is 1.

Therefore, GCD of numbers 421, 503, 46, 198 is 1

Given Input Data is 421, 503, 46, 198

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

Prime Factorization of 421 is 421

Prime Factorization of 503 is 503

Prime Factorization of 46 is 2 x 23

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(421, 503) = 211763

GCD(421, 503) = ( 421 x 503 ) / 211763

GCD(421, 503) = 211763 / 211763

GCD(421, 503) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 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 421, 503, 46, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 356, 47, 519
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• GCD of 711, 383, 13, 190
• GCD of 287, 208, 46, 771
• GCD of 315, 732, 56, 374

1. What is the GCD of 421, 503, 46, 198?

GCD of 421, 503, 46, 198 is 1

2. Where do I get the detailed procedure to find GCD of 421, 503, 46, 198?

You can find a detailed procedure to find GCD of 421, 503, 46, 198 on our page.

3. How to find GCD of 421, 503, 46, 198 on a calculator?

You can find the GCD of 421, 503, 46, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.