GCD of 498, 205, 15, 993 Calculator

Given Input numbers are 498, 205, 15, 993

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 498, 205, 15, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 205, 15, 993 is 1.

Therefore, GCD of numbers 498, 205, 15, 993 is 1

Given Input Data is 498, 205, 15, 993

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 205 is 5 x 41

Prime Factorization of 15 is 3 x 5

Prime Factorization of 993 is 3 x 331

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(498, 205) = 102090

GCD(498, 205) = ( 498 x 205 ) / 102090

GCD(498, 205) = 102090 / 102090

GCD(498, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 498, 205, 15, 993 is 1

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• GCD of 673, 599, 58, 534
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• GCD of 419, 421, 20, 849

1. What is the GCD of 498, 205, 15, 993?

GCD of 498, 205, 15, 993 is 1

2. Where do I get the detailed procedure to find GCD of 498, 205, 15, 993?

You can find a detailed procedure to find GCD of 498, 205, 15, 993 on our page.

3. How to find GCD of 498, 205, 15, 993 on a calculator?

You can find the GCD of 498, 205, 15, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.