Online GCD Calculator is useful to find the GCD of 829, 586, 704, 338 quickly. Get the easiest ways to solve the greatest common divisor of 829, 586, 704, 338 i.e 1 in different methods as follows.
Given Input numbers are 829, 586, 704, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
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 (829, 586, 704, 338) = 1.
Given numbers are 829, 586, 704, 338
The list of prime factors of all numbers are
Prime factors of 829 are 829
Prime factors of 586 are 2 x 293
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
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 829, 586, 704, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(829, 586) = 485794
GCD(829, 586) = ( 829 x 586 ) / 485794
= 829 / 586
= 829
Step2:
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
= 1 / 704
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 829, 586, 704, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 829, 586, 704, 338
The greatest common divisor of numbers 829, 586, 704, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 586, 704, 338 is 1.
1. What is the GCD of 829, 586, 704, 338?
GCD of given numbers 829, 586, 704, 338 is 1
2. How to calculate the greatest common divisor of 829, 586, 704, 338?
We can find the highest common divisor of 829, 586, 704, 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 829, 586, 704, 338 i.e 1.
3. How can I use the GCD of 829, 586, 704, 338Calculator?
Out the numbers 829, 586, 704, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.