Online GCD Calculator is useful to find the GCD of 134, 180, 159, 998 quickly. Get the easiest ways to solve the greatest common divisor of 134, 180, 159, 998 i.e 1 in different methods as follows.
Given Input numbers are 134, 180, 159, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
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 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (134, 180, 159, 998) = 1.
Given numbers are 134, 180, 159, 998
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 159 are 3 x 53
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 134, 180, 159, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 180) = 12060
GCD(134, 180) = ( 134 x 180 ) / 12060
= 134 / 180
= 134
Step2:
LCM(2, 159) = 318
GCD(2, 159) = ( 2 x 159 ) / 318
= 2 / 159
= 2
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 134, 180, 159, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 180, 159, 998
The greatest common divisor of numbers 134, 180, 159, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 180, 159, 998 is 1.
1. What is the GCD of 134, 180, 159, 998?
GCD of given numbers 134, 180, 159, 998 is 1
2. How to calculate the greatest common divisor of 134, 180, 159, 998?
We can find the highest common divisor of 134, 180, 159, 998 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 134, 180, 159, 998 i.e 1.
3. How can I use the GCD of 134, 180, 159, 998Calculator?
Out the numbers 134, 180, 159, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.