GCD of 208, 960, 123 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 208, 960, 123 quickly. Get the easiest ways to solve the greatest common divisor of 208, 960, 123 i.e 1 in different methods as follows.
Given Input numbers are 208, 960, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (208, 960, 123) = 1.
Given numbers are 208, 960, 123
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 208, 960, 123 using LCM Formula
Given numbers are 208, 960, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 960) = 12480
GCD(208, 960) = ( 208 x 960 ) / 12480
= 208 / 960
= 208
Step2:
LCM(16, 123) = 1968
GCD(16, 123) = ( 16 x 123 ) / 1968
= 16 / 123
= 16
So, Greatest Common Divisor of 208, 960, 123 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 208, 960, 123
Given numbers are 208, 960, 123
The greatest common divisor of numbers 208, 960, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 960, 123 is 1.
FAQs on GCD of 208, 960, 123 Calculator
1. What is the GCD of 208, 960, 123?
GCD of given numbers 208, 960, 123 is 1
2. How to calculate the greatest common divisor of 208, 960, 123?
We can find the highest common divisor of 208, 960, 123 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 208, 960, 123 i.e 1.
3. How can I use the GCD of 208, 960, 123Calculator?
Out the numbers 208, 960, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.