Online GCD Calculator is useful to find the GCD of 114, 356, 423 quickly. Get the easiest ways to solve the greatest common divisor of 114, 356, 423 i.e 1 in different methods as follows.
Given Input numbers are 114, 356, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (114, 356, 423) = 1.
Given numbers are 114, 356, 423
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 356 are 2 x 2 x 89
Prime factors of 423 are 3 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 114, 356, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 356) = 20292
GCD(114, 356) = ( 114 x 356 ) / 20292
= 114 / 356
= 114
Step2:
LCM(2, 423) = 846
GCD(2, 423) = ( 2 x 423 ) / 846
= 2 / 423
= 2
So, Greatest Common Divisor of 114, 356, 423 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 356, 423
The greatest common divisor of numbers 114, 356, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 356, 423 is 1.
1. What is the GCD of 114, 356, 423?
GCD of given numbers 114, 356, 423 is 1
2. How to calculate the greatest common divisor of 114, 356, 423?
We can find the highest common divisor of 114, 356, 423 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 114, 356, 423 i.e 1.
3. How can I use the GCD of 114, 356, 423Calculator?
Out the numbers 114, 356, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.