Online GCD Calculator is useful to find the GCD of 678, 832, 797, 338 quickly. Get the easiest ways to solve the greatest common divisor of 678, 832, 797, 338 i.e 1 in different methods as follows.
Given Input numbers are 678, 832, 797, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 797 :
The positive integer divisors of 797 that completely divides 797 are.
1, 797
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (678, 832, 797, 338) = 1.
Given numbers are 678, 832, 797, 338
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 797 are 797
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 678, 832, 797, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 832) = 282048
GCD(678, 832) = ( 678 x 832 ) / 282048
= 678 / 832
= 678
Step2:
LCM(2, 797) = 1594
GCD(2, 797) = ( 2 x 797 ) / 1594
= 2 / 797
= 2
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 678, 832, 797, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 832, 797, 338
The greatest common divisor of numbers 678, 832, 797, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 832, 797, 338 is 1.
1. What is the GCD of 678, 832, 797, 338?
GCD of given numbers 678, 832, 797, 338 is 1
2. How to calculate the greatest common divisor of 678, 832, 797, 338?
We can find the highest common divisor of 678, 832, 797, 338 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 678, 832, 797, 338 i.e 1.
3. How can I use the GCD of 678, 832, 797, 338Calculator?
Out the numbers 678, 832, 797, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.