Online GCD Calculator is useful to find the GCD of 120, 160, 299, 239 quickly. Get the easiest ways to solve the greatest common divisor of 120, 160, 299, 239 i.e 1 in different methods as follows.
Given Input numbers are 120, 160, 299, 239
In the factoring method, we have to find the divisors of all numbers
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 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 239 :
The positive integer divisors of 239 that completely divides 239 are.
1, 239
GCD of numbers is the greatest common divisor
So, the GCD (120, 160, 299, 239) = 1.
Given numbers are 120, 160, 299, 239
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 299 are 13 x 23
Prime factors of 239 are 239
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 160, 299, 239
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 160) = 480
GCD(120, 160) = ( 120 x 160 ) / 480
= 120 / 160
= 120
Step2:
LCM(40, 299) = 11960
GCD(40, 299) = ( 40 x 299 ) / 11960
= 40 / 299
= 40
Step3:
LCM(1, 239) = 239
GCD(1, 239) = ( 1 x 239 ) / 239
= 1 / 239
= 1
So, Greatest Common Divisor of 120, 160, 299, 239 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 160, 299, 239
The greatest common divisor of numbers 120, 160, 299, 239 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 160, 299, 239 is 1.
1. What is the GCD of 120, 160, 299, 239?
GCD of given numbers 120, 160, 299, 239 is 1
2. How to calculate the greatest common divisor of 120, 160, 299, 239?
We can find the highest common divisor of 120, 160, 299, 239 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 120, 160, 299, 239 i.e 1.
3. How can I use the GCD of 120, 160, 299, 239Calculator?
Out the numbers 120, 160, 299, 239 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.