Online GCD Calculator is useful to find the GCD of 123, 235, 588, 138 quickly. Get the easiest ways to solve the greatest common divisor of 123, 235, 588, 138 i.e 1 in different methods as follows.
Given Input numbers are 123, 235, 588, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 235 :
The positive integer divisors of 235 that completely divides 235 are.
1, 5, 47, 235
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (123, 235, 588, 138) = 1.
Given numbers are 123, 235, 588, 138
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 235 are 5 x 47
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 235, 588, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 235) = 28905
GCD(123, 235) = ( 123 x 235 ) / 28905
= 123 / 235
= 123
Step2:
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
= 1 / 588
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 123, 235, 588, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 235, 588, 138
The greatest common divisor of numbers 123, 235, 588, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 235, 588, 138 is 1.
1. What is the GCD of 123, 235, 588, 138?
GCD of given numbers 123, 235, 588, 138 is 1
2. How to calculate the greatest common divisor of 123, 235, 588, 138?
We can find the highest common divisor of 123, 235, 588, 138 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 123, 235, 588, 138 i.e 1.
3. How can I use the GCD of 123, 235, 588, 138Calculator?
Out the numbers 123, 235, 588, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.