GCD of 489, 822, 299, 474 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 489, 822, 299, 474 quickly. Get the easiest ways to solve the greatest common divisor of 489, 822, 299, 474 i.e 1 in different methods as follows.
Given Input numbers are 489, 822, 299, 474
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
GCD of numbers is the greatest common divisor
So, the GCD (489, 822, 299, 474) = 1.
Given numbers are 489, 822, 299, 474
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 822 are 2 x 3 x 137
Prime factors of 299 are 13 x 23
Prime factors of 474 are 2 x 3 x 79
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 489, 822, 299, 474 using LCM Formula
Given numbers are 489, 822, 299, 474
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 822) = 133986
GCD(489, 822) = ( 489 x 822 ) / 133986
= 489 / 822
= 489
Step2:
LCM(3, 299) = 897
GCD(3, 299) = ( 3 x 299 ) / 897
= 3 / 299
= 3
Step3:
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
= 1 / 474
= 1
So, Greatest Common Divisor of 489, 822, 299, 474 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 489, 822, 299, 474
Given numbers are 489, 822, 299, 474
The greatest common divisor of numbers 489, 822, 299, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 822, 299, 474 is 1.
FAQs on GCD of 489, 822, 299, 474 Calculator
1. What is the GCD of 489, 822, 299, 474?
GCD of given numbers 489, 822, 299, 474 is 1
2. How to calculate the greatest common divisor of 489, 822, 299, 474?
We can find the highest common divisor of 489, 822, 299, 474 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 489, 822, 299, 474 i.e 1.
3. How can I use the GCD of 489, 822, 299, 474Calculator?
Out the numbers 489, 822, 299, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.