Online GCD Calculator is useful to find the GCD of 180, 968, 949, 215 quickly. Get the easiest ways to solve the greatest common divisor of 180, 968, 949, 215 i.e 1 in different methods as follows.
Given Input numbers are 180, 968, 949, 215
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 949 :
The positive integer divisors of 949 that completely divides 949 are.
1, 13, 73, 949
Divisors of 215 :
The positive integer divisors of 215 that completely divides 215 are.
1, 5, 43, 215
GCD of numbers is the greatest common divisor
So, the GCD (180, 968, 949, 215) = 1.
Given numbers are 180, 968, 949, 215
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 949 are 13 x 73
Prime factors of 215 are 5 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 968, 949, 215
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 968) = 43560
GCD(180, 968) = ( 180 x 968 ) / 43560
= 180 / 968
= 180
Step2:
LCM(4, 949) = 3796
GCD(4, 949) = ( 4 x 949 ) / 3796
= 4 / 949
= 4
Step3:
LCM(1, 215) = 215
GCD(1, 215) = ( 1 x 215 ) / 215
= 1 / 215
= 1
So, Greatest Common Divisor of 180, 968, 949, 215 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 968, 949, 215
The greatest common divisor of numbers 180, 968, 949, 215 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 968, 949, 215 is 1.
1. What is the GCD of 180, 968, 949, 215?
GCD of given numbers 180, 968, 949, 215 is 1
2. How to calculate the greatest common divisor of 180, 968, 949, 215?
We can find the highest common divisor of 180, 968, 949, 215 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 180, 968, 949, 215 i.e 1.
3. How can I use the GCD of 180, 968, 949, 215Calculator?
Out the numbers 180, 968, 949, 215 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.