Online GCD Calculator is useful to find the GCD of 594, 120, 29, 138 quickly. Get the easiest ways to solve the greatest common divisor of 594, 120, 29, 138 i.e 1 in different methods as follows.
Given Input numbers are 594, 120, 29, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 29 :
The positive integer divisors of 29 that completely divides 29 are.
1, 29
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 (594, 120, 29, 138) = 1.
Given numbers are 594, 120, 29, 138
The list of prime factors of all numbers are
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 29 are 29
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 594, 120, 29, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(594, 120) = 11880
GCD(594, 120) = ( 594 x 120 ) / 11880
= 594 / 120
= 594
Step2:
LCM(6, 29) = 174
GCD(6, 29) = ( 6 x 29 ) / 174
= 6 / 29
= 6
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 594, 120, 29, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 594, 120, 29, 138
The greatest common divisor of numbers 594, 120, 29, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 120, 29, 138 is 1.
1. What is the GCD of 594, 120, 29, 138?
GCD of given numbers 594, 120, 29, 138 is 1
2. How to calculate the greatest common divisor of 594, 120, 29, 138?
We can find the highest common divisor of 594, 120, 29, 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 594, 120, 29, 138 i.e 1.
3. How can I use the GCD of 594, 120, 29, 138Calculator?
Out the numbers 594, 120, 29, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.