Online GCD Calculator is useful to find the GCD of 138, 597, 446, 159 quickly. Get the easiest ways to solve the greatest common divisor of 138, 597, 446, 159 i.e 1 in different methods as follows.
Given Input numbers are 138, 597, 446, 159
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
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 (138, 597, 446, 159) = 1.
Given numbers are 138, 597, 446, 159
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 597 are 3 x 199
Prime factors of 446 are 2 x 223
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 138, 597, 446, 159
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 597) = 27462
GCD(138, 597) = ( 138 x 597 ) / 27462
= 138 / 597
= 138
Step2:
LCM(3, 446) = 1338
GCD(3, 446) = ( 3 x 446 ) / 1338
= 3 / 446
= 3
Step3:
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
= 1 / 159
= 1
So, Greatest Common Divisor of 138, 597, 446, 159 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 597, 446, 159
The greatest common divisor of numbers 138, 597, 446, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 597, 446, 159 is 1.
1. What is the GCD of 138, 597, 446, 159?
GCD of given numbers 138, 597, 446, 159 is 1
2. How to calculate the greatest common divisor of 138, 597, 446, 159?
We can find the highest common divisor of 138, 597, 446, 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 138, 597, 446, 159 i.e 1.
3. How can I use the GCD of 138, 597, 446, 159Calculator?
Out the numbers 138, 597, 446, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.