Online GCD Calculator is useful to find the GCD of 338, 438, 974, 581 quickly. Get the easiest ways to solve the greatest common divisor of 338, 438, 974, 581 i.e 1 in different methods as follows.
Given Input numbers are 338, 438, 974, 581
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 581 :
The positive integer divisors of 581 that completely divides 581 are.
1, 7, 83, 581
GCD of numbers is the greatest common divisor
So, the GCD (338, 438, 974, 581) = 1.
Given numbers are 338, 438, 974, 581
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 438 are 2 x 3 x 73
Prime factors of 974 are 2 x 487
Prime factors of 581 are 7 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 438, 974, 581
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 438) = 74022
GCD(338, 438) = ( 338 x 438 ) / 74022
= 338 / 438
= 338
Step2:
LCM(2, 974) = 974
GCD(2, 974) = ( 2 x 974 ) / 974
= 2 / 974
= 2
Step3:
LCM(2, 581) = 1162
GCD(2, 581) = ( 2 x 581 ) / 1162
= 2 / 581
= 2
So, Greatest Common Divisor of 338, 438, 974, 581 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 438, 974, 581
The greatest common divisor of numbers 338, 438, 974, 581 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 438, 974, 581 is 1.
1. What is the GCD of 338, 438, 974, 581?
GCD of given numbers 338, 438, 974, 581 is 1
2. How to calculate the greatest common divisor of 338, 438, 974, 581?
We can find the highest common divisor of 338, 438, 974, 581 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 338, 438, 974, 581 i.e 1.
3. How can I use the GCD of 338, 438, 974, 581Calculator?
Out the numbers 338, 438, 974, 581 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.