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GCD of 450, 998, 488, 818 Calculator

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


Online GCD Calculator is useful to find the GCD of 450, 998, 488, 818 quickly. Get the easiest ways to solve the greatest common divisor of 450, 998, 488, 818 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 450, 998, 488, 818 with Factoring?

Given Input numbers are 450, 998, 488, 818

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818


GCD of numbers is the greatest common divisor

So, the GCD (450, 998, 488, 818) = 2.

Find GCD of 450, 998, 488, 818 using Prime Factorization

Given numbers are 450, 998, 488, 818

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 998 are 2 x 499

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 818 are 2 x 409

The highest common occurrence is 21

Therefore, GCD of 450, 998, 488, 818 is 2.

Steps to Calculate GCD of 450, 998, 488, 818 using LCM Formula

Given numbers are 450, 998, 488, 818

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

Apply this formula for all numbers.

Step1:

LCM(450, 998) = 224550

GCD(450, 998) = ( 450 x 998 ) / 224550

= 450 / 998

= 450


Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2


Step3:

LCM(2, 818) = 818

GCD(2, 818) = ( 2 x 818 ) / 818

= 2 / 818

= 2


So, Greatest Common Divisor of 450, 998, 488, 818 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 450, 998, 488, 818

Given numbers are 450, 998, 488, 818
The greatest common divisor of numbers 450, 998, 488, 818 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 998, 488, 818 is 2.

FAQs on GCD of 450, 998, 488, 818 Calculator

1. What is the GCD of 450, 998, 488, 818?

GCD of given numbers 450, 998, 488, 818 is 2


2. How to calculate the greatest common divisor of 450, 998, 488, 818?

We can find the highest common divisor of 450, 998, 488, 818 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 450, 998, 488, 818 i.e 2.


3. How can I use the GCD of 450, 998, 488, 818Calculator?

Out the numbers 450, 998, 488, 818 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.