Online GCD Calculator is useful to find the GCD of 824, 585, 408, 704 quickly. Get the easiest ways to solve the greatest common divisor of 824, 585, 408, 704 i.e 1 in different methods as follows.
Given Input numbers are 824, 585, 408, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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
GCD of numbers is the greatest common divisor
So, the GCD (824, 585, 408, 704) = 1.
Given numbers are 824, 585, 408, 704
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 824, 585, 408, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 585) = 482040
GCD(824, 585) = ( 824 x 585 ) / 482040
= 824 / 585
= 824
Step2:
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
= 1 / 408
= 1
Step3:
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
= 1 / 704
= 1
So, Greatest Common Divisor of 824, 585, 408, 704 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 585, 408, 704
The greatest common divisor of numbers 824, 585, 408, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 585, 408, 704 is 1.
1. What is the GCD of 824, 585, 408, 704?
GCD of given numbers 824, 585, 408, 704 is 1
2. How to calculate the greatest common divisor of 824, 585, 408, 704?
We can find the highest common divisor of 824, 585, 408, 704 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 824, 585, 408, 704 i.e 1.
3. How can I use the GCD of 824, 585, 408, 704Calculator?
Out the numbers 824, 585, 408, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.