GCD of 489, 248, 61, 164 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 489, 248, 61, 164 quickly. Get the easiest ways to solve the greatest common divisor of 489, 248, 61, 164 i.e 1 in different methods as follows.
Given Input numbers are 489, 248, 61, 164
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 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 61 :
The positive integer divisors of 61 that completely divides 61 are.
1, 61
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (489, 248, 61, 164) = 1.
Given numbers are 489, 248, 61, 164
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 61 are 61
Prime factors of 164 are 2 x 2 x 41
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 489, 248, 61, 164 using LCM Formula
Given numbers are 489, 248, 61, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 248) = 121272
GCD(489, 248) = ( 489 x 248 ) / 121272
= 489 / 248
= 489
Step2:
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
= 1 / 61
= 1
Step3:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
So, Greatest Common Divisor of 489, 248, 61, 164 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 489, 248, 61, 164
Given numbers are 489, 248, 61, 164
The greatest common divisor of numbers 489, 248, 61, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 248, 61, 164 is 1.
FAQs on GCD of 489, 248, 61, 164 Calculator
1. What is the GCD of 489, 248, 61, 164?
GCD of given numbers 489, 248, 61, 164 is 1
2. How to calculate the greatest common divisor of 489, 248, 61, 164?
We can find the highest common divisor of 489, 248, 61, 164 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, 248, 61, 164 i.e 1.
3. How can I use the GCD of 489, 248, 61, 164Calculator?
Out the numbers 489, 248, 61, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.