GCD of 111, 489, 123, 377 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 111, 489, 123, 377 quickly. Get the easiest ways to solve the greatest common divisor of 111, 489, 123, 377 i.e 1 in different methods as follows.
Given Input numbers are 111, 489, 123, 377
In the factoring method, we have to find the divisors of all numbers
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 377 :
The positive integer divisors of 377 that completely divides 377 are.
1, 13, 29, 377
GCD of numbers is the greatest common divisor
So, the GCD (111, 489, 123, 377) = 1.
Given numbers are 111, 489, 123, 377
The list of prime factors of all numbers are
Prime factors of 111 are 3 x 37
Prime factors of 489 are 3 x 163
Prime factors of 123 are 3 x 41
Prime factors of 377 are 13 x 29
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 111, 489, 123, 377 using LCM Formula
Given numbers are 111, 489, 123, 377
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(111, 489) = 18093
GCD(111, 489) = ( 111 x 489 ) / 18093
= 111 / 489
= 111
Step2:
LCM(3, 123) = 123
GCD(3, 123) = ( 3 x 123 ) / 123
= 3 / 123
= 3
Step3:
LCM(3, 377) = 1131
GCD(3, 377) = ( 3 x 377 ) / 1131
= 3 / 377
= 3
So, Greatest Common Divisor of 111, 489, 123, 377 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 111, 489, 123, 377
Given numbers are 111, 489, 123, 377
The greatest common divisor of numbers 111, 489, 123, 377 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 489, 123, 377 is 1.
FAQs on GCD of 111, 489, 123, 377 Calculator
1. What is the GCD of 111, 489, 123, 377?
GCD of given numbers 111, 489, 123, 377 is 1
2. How to calculate the greatest common divisor of 111, 489, 123, 377?
We can find the highest common divisor of 111, 489, 123, 377 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 111, 489, 123, 377 i.e 1.
3. How can I use the GCD of 111, 489, 123, 377Calculator?
Out the numbers 111, 489, 123, 377 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.