Online GCD Calculator is useful to find the GCD of 338, 671, 578, 680 quickly. Get the easiest ways to solve the greatest common divisor of 338, 671, 578, 680 i.e 1 in different methods as follows.
Given Input numbers are 338, 671, 578, 680
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 671 :
The positive integer divisors of 671 that completely divides 671 are.
1, 11, 61, 671
Divisors of 578 :
The positive integer divisors of 578 that completely divides 578 are.
1, 2, 17, 34, 289, 578
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (338, 671, 578, 680) = 1.
Given numbers are 338, 671, 578, 680
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 671 are 11 x 61
Prime factors of 578 are 2 x 17 x 17
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 671, 578, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 671) = 226798
GCD(338, 671) = ( 338 x 671 ) / 226798
= 338 / 671
= 338
Step2:
LCM(1, 578) = 578
GCD(1, 578) = ( 1 x 578 ) / 578
= 1 / 578
= 1
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 338, 671, 578, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 671, 578, 680
The greatest common divisor of numbers 338, 671, 578, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 671, 578, 680 is 1.
1. What is the GCD of 338, 671, 578, 680?
GCD of given numbers 338, 671, 578, 680 is 1
2. How to calculate the greatest common divisor of 338, 671, 578, 680?
We can find the highest common divisor of 338, 671, 578, 680 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, 671, 578, 680 i.e 1.
3. How can I use the GCD of 338, 671, 578, 680Calculator?
Out the numbers 338, 671, 578, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.