Online GCD Calculator is useful to find the GCD of 585, 682, 262, 338 quickly. Get the easiest ways to solve the greatest common divisor of 585, 682, 262, 338 i.e 1 in different methods as follows.
Given Input numbers are 585, 682, 262, 338
In the factoring method, we have to find the divisors of all numbers
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 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
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 (585, 682, 262, 338) = 1.
Given numbers are 585, 682, 262, 338
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 682 are 2 x 11 x 31
Prime factors of 262 are 2 x 131
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 585, 682, 262, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 682) = 398970
GCD(585, 682) = ( 585 x 682 ) / 398970
= 585 / 682
= 585
Step2:
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
= 1 / 262
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 585, 682, 262, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 682, 262, 338
The greatest common divisor of numbers 585, 682, 262, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 682, 262, 338 is 1.
1. What is the GCD of 585, 682, 262, 338?
GCD of given numbers 585, 682, 262, 338 is 1
2. How to calculate the greatest common divisor of 585, 682, 262, 338?
We can find the highest common divisor of 585, 682, 262, 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 585, 682, 262, 338 i.e 1.
3. How can I use the GCD of 585, 682, 262, 338Calculator?
Out the numbers 585, 682, 262, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.