GCD of 489, 657, 202, 362 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 489, 657, 202, 362 quickly. Get the easiest ways to solve the greatest common divisor of 489, 657, 202, 362 i.e 1 in different methods as follows.
Given Input numbers are 489, 657, 202, 362
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 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (489, 657, 202, 362) = 1.
Given numbers are 489, 657, 202, 362
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 657 are 3 x 3 x 73
Prime factors of 202 are 2 x 101
Prime factors of 362 are 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 489, 657, 202, 362 using LCM Formula
Given numbers are 489, 657, 202, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 657) = 107091
GCD(489, 657) = ( 489 x 657 ) / 107091
= 489 / 657
= 489
Step2:
LCM(3, 202) = 606
GCD(3, 202) = ( 3 x 202 ) / 606
= 3 / 202
= 3
Step3:
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
= 1 / 362
= 1
So, Greatest Common Divisor of 489, 657, 202, 362 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 489, 657, 202, 362
Given numbers are 489, 657, 202, 362
The greatest common divisor of numbers 489, 657, 202, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 657, 202, 362 is 1.
FAQs on GCD of 489, 657, 202, 362 Calculator
1. What is the GCD of 489, 657, 202, 362?
GCD of given numbers 489, 657, 202, 362 is 1
2. How to calculate the greatest common divisor of 489, 657, 202, 362?
We can find the highest common divisor of 489, 657, 202, 362 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, 657, 202, 362 i.e 1.
3. How can I use the GCD of 489, 657, 202, 362Calculator?
Out the numbers 489, 657, 202, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.