Online GCD Calculator is useful to find the GCD of 169, 214, 342 quickly. Get the easiest ways to solve the greatest common divisor of 169, 214, 342 i.e 1 in different methods as follows.
Given Input numbers are 169, 214, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (169, 214, 342) = 1.
Given numbers are 169, 214, 342
The list of prime factors of all numbers are
Prime factors of 169 are 13 x 13
Prime factors of 214 are 2 x 107
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 169, 214, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(169, 214) = 36166
GCD(169, 214) = ( 169 x 214 ) / 36166
= 169 / 214
= 169
Step2:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 169, 214, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 169, 214, 342
The greatest common divisor of numbers 169, 214, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 214, 342 is 1.
1. What is the GCD of 169, 214, 342?
GCD of given numbers 169, 214, 342 is 1
2. How to calculate the greatest common divisor of 169, 214, 342?
We can find the highest common divisor of 169, 214, 342 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 169, 214, 342 i.e 1.
3. How can I use the GCD of 169, 214, 342Calculator?
Out the numbers 169, 214, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.