Online GCD Calculator is useful to find the GCD of 138, 192, 544, 188 quickly. Get the easiest ways to solve the greatest common divisor of 138, 192, 544, 188 i.e 2 in different methods as follows.
Given Input numbers are 138, 192, 544, 188
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 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
GCD of numbers is the greatest common divisor
So, the GCD (138, 192, 544, 188) = 2.
Given numbers are 138, 192, 544, 188
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 188 are 2 x 2 x 47
The highest common occurrence is 21
Therefore, GCD of 138, 192, 544, 188 is 2.
Given numbers are 138, 192, 544, 188
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 192) = 4416
GCD(138, 192) = ( 138 x 192 ) / 4416
= 138 / 192
= 138
Step2:
LCM(6, 544) = 1632
GCD(6, 544) = ( 6 x 544 ) / 1632
= 6 / 544
= 6
Step3:
LCM(2, 188) = 188
GCD(2, 188) = ( 2 x 188 ) / 188
= 2 / 188
= 2
So, Greatest Common Divisor of 138, 192, 544, 188 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 192, 544, 188
The greatest common divisor of numbers 138, 192, 544, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 192, 544, 188 is 2.
1. What is the GCD of 138, 192, 544, 188?
GCD of given numbers 138, 192, 544, 188 is 2
2. How to calculate the greatest common divisor of 138, 192, 544, 188?
We can find the highest common divisor of 138, 192, 544, 188 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, 192, 544, 188 i.e 2.
3. How can I use the GCD of 138, 192, 544, 188Calculator?
Out the numbers 138, 192, 544, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.