Online GCD Calculator is useful to find the GCD of 272, 198, 996, 159 quickly. Get the easiest ways to solve the greatest common divisor of 272, 198, 996, 159 i.e 1 in different methods as follows.
Given Input numbers are 272, 198, 996, 159
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
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 (272, 198, 996, 159) = 1.
Given numbers are 272, 198, 996, 159
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 996 are 2 x 2 x 3 x 83
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 272, 198, 996, 159
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 198) = 26928
GCD(272, 198) = ( 272 x 198 ) / 26928
= 272 / 198
= 272
Step2:
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
= 2 / 996
= 2
Step3:
LCM(2, 159) = 318
GCD(2, 159) = ( 2 x 159 ) / 318
= 2 / 159
= 2
So, Greatest Common Divisor of 272, 198, 996, 159 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 198, 996, 159
The greatest common divisor of numbers 272, 198, 996, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 198, 996, 159 is 1.
1. What is the GCD of 272, 198, 996, 159?
GCD of given numbers 272, 198, 996, 159 is 1
2. How to calculate the greatest common divisor of 272, 198, 996, 159?
We can find the highest common divisor of 272, 198, 996, 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 272, 198, 996, 159 i.e 1.
3. How can I use the GCD of 272, 198, 996, 159Calculator?
Out the numbers 272, 198, 996, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.