Online GCD Calculator is useful to find the GCD of 538, 150, 136, 299 quickly. Get the easiest ways to solve the greatest common divisor of 538, 150, 136, 299 i.e 1 in different methods as follows.
Given Input numbers are 538, 150, 136, 299
In the factoring method, we have to find the divisors of all numbers
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
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 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
GCD of numbers is the greatest common divisor
So, the GCD (538, 150, 136, 299) = 1.
Given numbers are 538, 150, 136, 299
The list of prime factors of all numbers are
Prime factors of 538 are 2 x 269
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 299 are 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 538, 150, 136, 299
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(538, 150) = 40350
GCD(538, 150) = ( 538 x 150 ) / 40350
= 538 / 150
= 538
Step2:
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
= 2 / 136
= 2
Step3:
LCM(2, 299) = 598
GCD(2, 299) = ( 2 x 299 ) / 598
= 2 / 299
= 2
So, Greatest Common Divisor of 538, 150, 136, 299 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 538, 150, 136, 299
The greatest common divisor of numbers 538, 150, 136, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 150, 136, 299 is 1.
1. What is the GCD of 538, 150, 136, 299?
GCD of given numbers 538, 150, 136, 299 is 1
2. How to calculate the greatest common divisor of 538, 150, 136, 299?
We can find the highest common divisor of 538, 150, 136, 299 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 538, 150, 136, 299 i.e 1.
3. How can I use the GCD of 538, 150, 136, 299Calculator?
Out the numbers 538, 150, 136, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.