Online GCD Calculator is useful to find the GCD of 138, 405, 197, 564 quickly. Get the easiest ways to solve the greatest common divisor of 138, 405, 197, 564 i.e 1 in different methods as follows.
Given Input numbers are 138, 405, 197, 564
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 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 197 :
The positive integer divisors of 197 that completely divides 197 are.
1, 197
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (138, 405, 197, 564) = 1.
Given numbers are 138, 405, 197, 564
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 197 are 197
Prime factors of 564 are 2 x 2 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 405, 197, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 405) = 18630
GCD(138, 405) = ( 138 x 405 ) / 18630
= 138 / 405
= 138
Step2:
LCM(3, 197) = 591
GCD(3, 197) = ( 3 x 197 ) / 591
= 3 / 197
= 3
Step3:
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
= 1 / 564
= 1
So, Greatest Common Divisor of 138, 405, 197, 564 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 405, 197, 564
The greatest common divisor of numbers 138, 405, 197, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 405, 197, 564 is 1.
1. What is the GCD of 138, 405, 197, 564?
GCD of given numbers 138, 405, 197, 564 is 1
2. How to calculate the greatest common divisor of 138, 405, 197, 564?
We can find the highest common divisor of 138, 405, 197, 564 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, 405, 197, 564 i.e 1.
3. How can I use the GCD of 138, 405, 197, 564Calculator?
Out the numbers 138, 405, 197, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.