GCD of 498, 531, 993, 151 Calculator

Given Input numbers are 498, 531, 993, 151

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 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 993

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

1, 3, 331, 993

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 498, 531, 993, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 531, 993, 151 is 1.

Therefore, GCD of numbers 498, 531, 993, 151 is 1

Given Input Data is 498, 531, 993, 151

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 531 is 3 x 3 x 59

Prime Factorization of 993 is 3 x 331

Prime Factorization of 151 is 151

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, 531) = 88146

GCD(498, 531) = ( 498 x 531 ) / 88146

GCD(498, 531) = 264438 / 88146

GCD(498, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 993

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

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

GCD(3, 993) = 2979 / 993

GCD(3, 993) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 151

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

LCM(3, 151) = 453

GCD(3, 151) = ( 3 x 151 ) / 453

GCD(3, 151) = 453 / 453

GCD(3, 151) = 1

GCD of 498, 531, 993, 151 is 1

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1. What is the GCD of 498, 531, 993, 151?

GCD of 498, 531, 993, 151 is 1

2. Where do I get the detailed procedure to find GCD of 498, 531, 993, 151?

You can find a detailed procedure to find GCD of 498, 531, 993, 151 on our page.

3. How to find GCD of 498, 531, 993, 151 on a calculator?

You can find the GCD of 498, 531, 993, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.