Online GCD Calculator is useful to find the GCD of 360, 120, 692, 159 quickly. Get the easiest ways to solve the greatest common divisor of 360, 120, 692, 159 i.e 1 in different methods as follows.
Given Input numbers are 360, 120, 692, 159
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
GCD of numbers is the greatest common divisor
So, the GCD (360, 120, 692, 159) = 1.
Given numbers are 360, 120, 692, 159
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 692 are 2 x 2 x 173
Prime factors of 159 are 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 120, 692, 159
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 120) = 360
GCD(360, 120) = ( 360 x 120 ) / 360
= 360 / 120
= 360
Step2:
LCM(120, 692) = 20760
GCD(120, 692) = ( 120 x 692 ) / 20760
= 120 / 692
= 120
Step3:
LCM(4, 159) = 636
GCD(4, 159) = ( 4 x 159 ) / 636
= 4 / 159
= 4
So, Greatest Common Divisor of 360, 120, 692, 159 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 120, 692, 159
The greatest common divisor of numbers 360, 120, 692, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 120, 692, 159 is 1.
1. What is the GCD of 360, 120, 692, 159?
GCD of given numbers 360, 120, 692, 159 is 1
2. How to calculate the greatest common divisor of 360, 120, 692, 159?
We can find the highest common divisor of 360, 120, 692, 159 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 360, 120, 692, 159 i.e 1.
3. How can I use the GCD of 360, 120, 692, 159Calculator?
Out the numbers 360, 120, 692, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.