Online GCD Calculator is useful to find the GCD of 298, 159, 589, 142 quickly. Get the easiest ways to solve the greatest common divisor of 298, 159, 589, 142 i.e 1 in different methods as follows.
Given Input numbers are 298, 159, 589, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (298, 159, 589, 142) = 1.
Given numbers are 298, 159, 589, 142
The list of prime factors of all numbers are
Prime factors of 298 are 2 x 149
Prime factors of 159 are 3 x 53
Prime factors of 589 are 19 x 31
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 298, 159, 589, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(298, 159) = 47382
GCD(298, 159) = ( 298 x 159 ) / 47382
= 298 / 159
= 298
Step2:
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
= 1 / 589
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 298, 159, 589, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 298, 159, 589, 142
The greatest common divisor of numbers 298, 159, 589, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 159, 589, 142 is 1.
1. What is the GCD of 298, 159, 589, 142?
GCD of given numbers 298, 159, 589, 142 is 1
2. How to calculate the greatest common divisor of 298, 159, 589, 142?
We can find the highest common divisor of 298, 159, 589, 142 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 298, 159, 589, 142 i.e 1.
3. How can I use the GCD of 298, 159, 589, 142Calculator?
Out the numbers 298, 159, 589, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.