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GCD of 498, 961, 216, 502 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, 961, 216, 502 quickly. Get the easiest ways to solve the greatest common divisor of 498, 961, 216, 502 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 498, 961, 216, 502 with Factoring?

Given Input numbers are 498, 961, 216, 502

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 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502


GCD of numbers is the greatest common divisor

So, the GCD (498, 961, 216, 502) = 1.

Find GCD of 498, 961, 216, 502 using Prime Factorization

Given numbers are 498, 961, 216, 502

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 961 are 31 x 31

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 502 are 2 x 251

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

Steps to Calculate GCD of 498, 961, 216, 502 using LCM Formula

Given numbers are 498, 961, 216, 502

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

Apply this formula for all numbers.

Step1:

LCM(498, 961) = 478578

GCD(498, 961) = ( 498 x 961 ) / 478578

= 498 / 961

= 498


Step2:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1


Step3:

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

= 1 / 502

= 1


So, Greatest Common Divisor of 498, 961, 216, 502 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 498, 961, 216, 502

Given numbers are 498, 961, 216, 502
The greatest common divisor of numbers 498, 961, 216, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 961, 216, 502 is 1.

FAQs on GCD of 498, 961, 216, 502 Calculator

1. What is the GCD of 498, 961, 216, 502?

GCD of given numbers 498, 961, 216, 502 is 1


2. How to calculate the greatest common divisor of 498, 961, 216, 502?

We can find the highest common divisor of 498, 961, 216, 502 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, 961, 216, 502 i.e 1.


3. How can I use the GCD of 498, 961, 216, 502Calculator?

Out the numbers 498, 961, 216, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.