Online GCD Calculator is useful to find the GCD of 120, 361, 15, 834 quickly. Get the easiest ways to solve the greatest common divisor of 120, 361, 15, 834 i.e 1 in different methods as follows.
Given Input numbers are 120, 361, 15, 834
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 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 15 :
The positive integer divisors of 15 that completely divides 15 are.
1, 3, 5, 15
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
GCD of numbers is the greatest common divisor
So, the GCD (120, 361, 15, 834) = 1.
Given numbers are 120, 361, 15, 834
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 361 are 19 x 19
Prime factors of 15 are 3 x 5
Prime factors of 834 are 2 x 3 x 139
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 361, 15, 834
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 361) = 43320
GCD(120, 361) = ( 120 x 361 ) / 43320
= 120 / 361
= 120
Step2:
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
= 1 / 15
= 1
Step3:
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
= 1 / 834
= 1
So, Greatest Common Divisor of 120, 361, 15, 834 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 361, 15, 834
The greatest common divisor of numbers 120, 361, 15, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 361, 15, 834 is 1.
1. What is the GCD of 120, 361, 15, 834?
GCD of given numbers 120, 361, 15, 834 is 1
2. How to calculate the greatest common divisor of 120, 361, 15, 834?
We can find the highest common divisor of 120, 361, 15, 834 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, 361, 15, 834 i.e 1.
3. How can I use the GCD of 120, 361, 15, 834Calculator?
Out the numbers 120, 361, 15, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.