Online GCD Calculator is useful to find the GCD of 362, 334, 189, 217 quickly. Get the easiest ways to solve the greatest common divisor of 362, 334, 189, 217 i.e 1 in different methods as follows.
Given Input numbers are 362, 334, 189, 217
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (362, 334, 189, 217) = 1.
Given numbers are 362, 334, 189, 217
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 334 are 2 x 167
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 362, 334, 189, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 334) = 60454
GCD(362, 334) = ( 362 x 334 ) / 60454
= 362 / 334
= 362
Step2:
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
= 2 / 189
= 2
Step3:
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
= 1 / 217
= 1
So, Greatest Common Divisor of 362, 334, 189, 217 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 334, 189, 217
The greatest common divisor of numbers 362, 334, 189, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 334, 189, 217 is 1.
1. What is the GCD of 362, 334, 189, 217?
GCD of given numbers 362, 334, 189, 217 is 1
2. How to calculate the greatest common divisor of 362, 334, 189, 217?
We can find the highest common divisor of 362, 334, 189, 217 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 362, 334, 189, 217 i.e 1.
3. How can I use the GCD of 362, 334, 189, 217Calculator?
Out the numbers 362, 334, 189, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.