Online GCD Calculator is useful to find the GCD of 338, 496, 371, 160 quickly. Get the easiest ways to solve the greatest common divisor of 338, 496, 371, 160 i.e 1 in different methods as follows.
Given Input numbers are 338, 496, 371, 160
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 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
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
GCD of numbers is the greatest common divisor
So, the GCD (338, 496, 371, 160) = 1.
Given numbers are 338, 496, 371, 160
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 371 are 7 x 53
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 496, 371, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 496) = 83824
GCD(338, 496) = ( 338 x 496 ) / 83824
= 338 / 496
= 338
Step2:
LCM(2, 371) = 742
GCD(2, 371) = ( 2 x 371 ) / 742
= 2 / 371
= 2
Step3:
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
= 1 / 160
= 1
So, Greatest Common Divisor of 338, 496, 371, 160 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 496, 371, 160
The greatest common divisor of numbers 338, 496, 371, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 496, 371, 160 is 1.
1. What is the GCD of 338, 496, 371, 160?
GCD of given numbers 338, 496, 371, 160 is 1
2. How to calculate the greatest common divisor of 338, 496, 371, 160?
We can find the highest common divisor of 338, 496, 371, 160 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, 496, 371, 160 i.e 1.
3. How can I use the GCD of 338, 496, 371, 160Calculator?
Out the numbers 338, 496, 371, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.