Online GCD Calculator is useful to find the GCD of 238, 480, 998, 119 quickly. Get the easiest ways to solve the greatest common divisor of 238, 480, 998, 119 i.e 1 in different methods as follows.
Given Input numbers are 238, 480, 998, 119
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
GCD of numbers is the greatest common divisor
So, the GCD (238, 480, 998, 119) = 1.
Given numbers are 238, 480, 998, 119
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 998 are 2 x 499
Prime factors of 119 are 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 238, 480, 998, 119
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 480) = 57120
GCD(238, 480) = ( 238 x 480 ) / 57120
= 238 / 480
= 238
Step2:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
Step3:
LCM(2, 119) = 238
GCD(2, 119) = ( 2 x 119 ) / 238
= 2 / 119
= 2
So, Greatest Common Divisor of 238, 480, 998, 119 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 480, 998, 119
The greatest common divisor of numbers 238, 480, 998, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 480, 998, 119 is 1.
1. What is the GCD of 238, 480, 998, 119?
GCD of given numbers 238, 480, 998, 119 is 1
2. How to calculate the greatest common divisor of 238, 480, 998, 119?
We can find the highest common divisor of 238, 480, 998, 119 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 238, 480, 998, 119 i.e 1.
3. How can I use the GCD of 238, 480, 998, 119Calculator?
Out the numbers 238, 480, 998, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.