Online GCD Calculator is useful to find the GCD of 115, 972, 159, 998 quickly. Get the easiest ways to solve the greatest common divisor of 115, 972, 159, 998 i.e 1 in different methods as follows.
Given Input numbers are 115, 972, 159, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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 (115, 972, 159, 998) = 1.
Given numbers are 115, 972, 159, 998
The list of prime factors of all numbers are
Prime factors of 115 are 5 x 23
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
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 115, 972, 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(115, 972) = 111780
GCD(115, 972) = ( 115 x 972 ) / 111780
= 115 / 972
= 115
Step2:
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
= 1 / 159
= 1
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 115, 972, 159, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 115, 972, 159, 998
The greatest common divisor of numbers 115, 972, 159, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 115, 972, 159, 998 is 1.
1. What is the GCD of 115, 972, 159, 998?
GCD of given numbers 115, 972, 159, 998 is 1
2. How to calculate the greatest common divisor of 115, 972, 159, 998?
We can find the highest common divisor of 115, 972, 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 115, 972, 159, 998 i.e 1.
3. How can I use the GCD of 115, 972, 159, 998Calculator?
Out the numbers 115, 972, 159, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.