Online GCD Calculator is useful to find the GCD of 138, 150, 599, 213 quickly. Get the easiest ways to solve the greatest common divisor of 138, 150, 599, 213 i.e 1 in different methods as follows.
Given Input numbers are 138, 150, 599, 213
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 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 599 :
The positive integer divisors of 599 that completely divides 599 are.
1, 599
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (138, 150, 599, 213) = 1.
Given numbers are 138, 150, 599, 213
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 599 are 599
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 150, 599, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 150) = 3450
GCD(138, 150) = ( 138 x 150 ) / 3450
= 138 / 150
= 138
Step2:
LCM(6, 599) = 3594
GCD(6, 599) = ( 6 x 599 ) / 3594
= 6 / 599
= 6
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 138, 150, 599, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 150, 599, 213
The greatest common divisor of numbers 138, 150, 599, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 150, 599, 213 is 1.
1. What is the GCD of 138, 150, 599, 213?
GCD of given numbers 138, 150, 599, 213 is 1
2. How to calculate the greatest common divisor of 138, 150, 599, 213?
We can find the highest common divisor of 138, 150, 599, 213 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, 150, 599, 213 i.e 1.
3. How can I use the GCD of 138, 150, 599, 213Calculator?
Out the numbers 138, 150, 599, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.