Online GCD Calculator is useful to find the GCD of 120, 349, 188, 342 quickly. Get the easiest ways to solve the greatest common divisor of 120, 349, 188, 342 i.e 1 in different methods as follows.
Given Input numbers are 120, 349, 188, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
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 (120, 349, 188, 342) = 1.
Given numbers are 120, 349, 188, 342
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 349 are 349
Prime factors of 188 are 2 x 2 x 47
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 120, 349, 188, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 349) = 41880
GCD(120, 349) = ( 120 x 349 ) / 41880
= 120 / 349
= 120
Step2:
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
= 1 / 188
= 1
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 120, 349, 188, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 349, 188, 342
The greatest common divisor of numbers 120, 349, 188, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 349, 188, 342 is 1.
1. What is the GCD of 120, 349, 188, 342?
GCD of given numbers 120, 349, 188, 342 is 1
2. How to calculate the greatest common divisor of 120, 349, 188, 342?
We can find the highest common divisor of 120, 349, 188, 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 120, 349, 188, 342 i.e 1.
3. How can I use the GCD of 120, 349, 188, 342Calculator?
Out the numbers 120, 349, 188, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.