Online GCD Calculator is useful to find the GCD of 119, 114, 338, 421 quickly. Get the easiest ways to solve the greatest common divisor of 119, 114, 338, 421 i.e 1 in different methods as follows.
Given Input numbers are 119, 114, 338, 421
In the factoring method, we have to find the divisors of all numbers
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
GCD of numbers is the greatest common divisor
So, the GCD (119, 114, 338, 421) = 1.
Given numbers are 119, 114, 338, 421
The list of prime factors of all numbers are
Prime factors of 119 are 7 x 17
Prime factors of 114 are 2 x 3 x 19
Prime factors of 338 are 2 x 13 x 13
Prime factors of 421 are 421
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 119, 114, 338, 421
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(119, 114) = 13566
GCD(119, 114) = ( 119 x 114 ) / 13566
= 119 / 114
= 119
Step2:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
Step3:
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
= 1 / 421
= 1
So, Greatest Common Divisor of 119, 114, 338, 421 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 119, 114, 338, 421
The greatest common divisor of numbers 119, 114, 338, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 114, 338, 421 is 1.
1. What is the GCD of 119, 114, 338, 421?
GCD of given numbers 119, 114, 338, 421 is 1
2. How to calculate the greatest common divisor of 119, 114, 338, 421?
We can find the highest common divisor of 119, 114, 338, 421 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 119, 114, 338, 421 i.e 1.
3. How can I use the GCD of 119, 114, 338, 421Calculator?
Out the numbers 119, 114, 338, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.