Online GCD Calculator is useful to find the GCD of 180, 987, 981, 362 quickly. Get the easiest ways to solve the greatest common divisor of 180, 987, 981, 362 i.e 1 in different methods as follows.
Given Input numbers are 180, 987, 981, 362
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 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (180, 987, 981, 362) = 1.
Given numbers are 180, 987, 981, 362
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 987 are 3 x 7 x 47
Prime factors of 981 are 3 x 3 x 109
Prime factors of 362 are 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 987, 981, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 987) = 59220
GCD(180, 987) = ( 180 x 987 ) / 59220
= 180 / 987
= 180
Step2:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
Step3:
LCM(3, 362) = 1086
GCD(3, 362) = ( 3 x 362 ) / 1086
= 3 / 362
= 3
So, Greatest Common Divisor of 180, 987, 981, 362 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 987, 981, 362
The greatest common divisor of numbers 180, 987, 981, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 987, 981, 362 is 1.
1. What is the GCD of 180, 987, 981, 362?
GCD of given numbers 180, 987, 981, 362 is 1
2. How to calculate the greatest common divisor of 180, 987, 981, 362?
We can find the highest common divisor of 180, 987, 981, 362 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, 987, 981, 362 i.e 1.
3. How can I use the GCD of 180, 987, 981, 362Calculator?
Out the numbers 180, 987, 981, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.