Online GCD Calculator is useful to find the GCD of 121, 214, 239, 109 quickly. Get the easiest ways to solve the greatest common divisor of 121, 214, 239, 109 i.e 1 in different methods as follows.
Given Input numbers are 121, 214, 239, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 239 :
The positive integer divisors of 239 that completely divides 239 are.
1, 239
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (121, 214, 239, 109) = 1.
Given numbers are 121, 214, 239, 109
The list of prime factors of all numbers are
Prime factors of 121 are 11 x 11
Prime factors of 214 are 2 x 107
Prime factors of 239 are 239
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 121, 214, 239, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(121, 214) = 25894
GCD(121, 214) = ( 121 x 214 ) / 25894
= 121 / 214
= 121
Step2:
LCM(1, 239) = 239
GCD(1, 239) = ( 1 x 239 ) / 239
= 1 / 239
= 1
Step3:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
So, Greatest Common Divisor of 121, 214, 239, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 121, 214, 239, 109
The greatest common divisor of numbers 121, 214, 239, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 214, 239, 109 is 1.
1. What is the GCD of 121, 214, 239, 109?
GCD of given numbers 121, 214, 239, 109 is 1
2. How to calculate the greatest common divisor of 121, 214, 239, 109?
We can find the highest common divisor of 121, 214, 239, 109 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 121, 214, 239, 109 i.e 1.
3. How can I use the GCD of 121, 214, 239, 109Calculator?
Out the numbers 121, 214, 239, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.