Online GCD Calculator is useful to find the GCD of 385, 332, 214, 109 quickly. Get the easiest ways to solve the greatest common divisor of 385, 332, 214, 109 i.e 1 in different methods as follows.
Given Input numbers are 385, 332, 214, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
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 (385, 332, 214, 109) = 1.
Given numbers are 385, 332, 214, 109
The list of prime factors of all numbers are
Prime factors of 385 are 5 x 7 x 11
Prime factors of 332 are 2 x 2 x 83
Prime factors of 214 are 2 x 107
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 385, 332, 214, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(385, 332) = 127820
GCD(385, 332) = ( 385 x 332 ) / 127820
= 385 / 332
= 385
Step2:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
Step3:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
So, Greatest Common Divisor of 385, 332, 214, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 385, 332, 214, 109
The greatest common divisor of numbers 385, 332, 214, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 332, 214, 109 is 1.
1. What is the GCD of 385, 332, 214, 109?
GCD of given numbers 385, 332, 214, 109 is 1
2. How to calculate the greatest common divisor of 385, 332, 214, 109?
We can find the highest common divisor of 385, 332, 214, 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 385, 332, 214, 109 i.e 1.
3. How can I use the GCD of 385, 332, 214, 109Calculator?
Out the numbers 385, 332, 214, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.