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GCD of 498, 501, 199, 508 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 498, 501, 199, 508 quickly. Get the easiest ways to solve the greatest common divisor of 498, 501, 199, 508 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 498, 501, 199, 508 with Factoring?

Given Input numbers are 498, 501, 199, 508

In the factoring method, we have to find the divisors of all numbers

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (498, 501, 199, 508) = 1.

Find GCD of 498, 501, 199, 508 using Prime Factorization

Given numbers are 498, 501, 199, 508

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 501 are 3 x 167

Prime factors of 199 are 199

Prime factors of 508 are 2 x 2 x 127

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 498, 501, 199, 508 using LCM Formula

Given numbers are 498, 501, 199, 508

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(498, 501) = 83166

GCD(498, 501) = ( 498 x 501 ) / 83166

= 498 / 501

= 498


Step2:

LCM(3, 199) = 597

GCD(3, 199) = ( 3 x 199 ) / 597

= 3 / 199

= 3


Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1


So, Greatest Common Divisor of 498, 501, 199, 508 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 498, 501, 199, 508

Given numbers are 498, 501, 199, 508
The greatest common divisor of numbers 498, 501, 199, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 501, 199, 508 is 1.

FAQs on GCD of 498, 501, 199, 508 Calculator

1. What is the GCD of 498, 501, 199, 508?

GCD of given numbers 498, 501, 199, 508 is 1


2. How to calculate the greatest common divisor of 498, 501, 199, 508?

We can find the highest common divisor of 498, 501, 199, 508 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 498, 501, 199, 508 i.e 1.


3. How can I use the GCD of 498, 501, 199, 508Calculator?

Out the numbers 498, 501, 199, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.