Online GCD Calculator is useful to find the GCD of 429, 214, 189, 382 quickly. Get the easiest ways to solve the greatest common divisor of 429, 214, 189, 382 i.e 1 in different methods as follows.
Given Input numbers are 429, 214, 189, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (429, 214, 189, 382) = 1.
Given numbers are 429, 214, 189, 382
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 214 are 2 x 107
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 382 are 2 x 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 429, 214, 189, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 214) = 91806
GCD(429, 214) = ( 429 x 214 ) / 91806
= 429 / 214
= 429
Step2:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
Step3:
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
= 1 / 382
= 1
So, Greatest Common Divisor of 429, 214, 189, 382 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 214, 189, 382
The greatest common divisor of numbers 429, 214, 189, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 214, 189, 382 is 1.
1. What is the GCD of 429, 214, 189, 382?
GCD of given numbers 429, 214, 189, 382 is 1
2. How to calculate the greatest common divisor of 429, 214, 189, 382?
We can find the highest common divisor of 429, 214, 189, 382 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 429, 214, 189, 382 i.e 1.
3. How can I use the GCD of 429, 214, 189, 382Calculator?
Out the numbers 429, 214, 189, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.