Online GCD Calculator is useful to find the GCD of 279, 218, 432, 123 quickly. Get the easiest ways to solve the greatest common divisor of 279, 218, 432, 123 i.e 1 in different methods as follows.
Given Input numbers are 279, 218, 432, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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 (279, 218, 432, 123) = 1.
Given numbers are 279, 218, 432, 123
The list of prime factors of all numbers are
Prime factors of 279 are 3 x 3 x 31
Prime factors of 218 are 2 x 109
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 279, 218, 432, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(279, 218) = 60822
GCD(279, 218) = ( 279 x 218 ) / 60822
= 279 / 218
= 279
Step2:
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
= 1 / 432
= 1
Step3:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
So, Greatest Common Divisor of 279, 218, 432, 123 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 279, 218, 432, 123
The greatest common divisor of numbers 279, 218, 432, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 218, 432, 123 is 1.
1. What is the GCD of 279, 218, 432, 123?
GCD of given numbers 279, 218, 432, 123 is 1
2. How to calculate the greatest common divisor of 279, 218, 432, 123?
We can find the highest common divisor of 279, 218, 432, 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 279, 218, 432, 123 i.e 1.
3. How can I use the GCD of 279, 218, 432, 123Calculator?
Out the numbers 279, 218, 432, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.