Online GCD Calculator is useful to find the GCD of 214, 545, 423, 198 quickly. Get the easiest ways to solve the greatest common divisor of 214, 545, 423, 198 i.e 1 in different methods as follows.
Given Input numbers are 214, 545, 423, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 545 :
The positive integer divisors of 545 that completely divides 545 are.
1, 5, 109, 545
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (214, 545, 423, 198) = 1.
Given numbers are 214, 545, 423, 198
The list of prime factors of all numbers are
Prime factors of 214 are 2 x 107
Prime factors of 545 are 5 x 109
Prime factors of 423 are 3 x 3 x 47
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 214, 545, 423, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(214, 545) = 116630
GCD(214, 545) = ( 214 x 545 ) / 116630
= 214 / 545
= 214
Step2:
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
= 1 / 423
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 214, 545, 423, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 214, 545, 423, 198
The greatest common divisor of numbers 214, 545, 423, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 545, 423, 198 is 1.
1. What is the GCD of 214, 545, 423, 198?
GCD of given numbers 214, 545, 423, 198 is 1
2. How to calculate the greatest common divisor of 214, 545, 423, 198?
We can find the highest common divisor of 214, 545, 423, 198 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 214, 545, 423, 198 i.e 1.
3. How can I use the GCD of 214, 545, 423, 198Calculator?
Out the numbers 214, 545, 423, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.