Online GCD Calculator is useful to find the GCD of 240, 585, 408, 838 quickly. Get the easiest ways to solve the greatest common divisor of 240, 585, 408, 838 i.e 1 in different methods as follows.
Given Input numbers are 240, 585, 408, 838
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
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 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (240, 585, 408, 838) = 1.
Given numbers are 240, 585, 408, 838
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
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 838 are 2 x 419
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 240, 585, 408, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 585) = 9360
GCD(240, 585) = ( 240 x 585 ) / 9360
= 240 / 585
= 240
Step2:
LCM(15, 408) = 2040
GCD(15, 408) = ( 15 x 408 ) / 2040
= 15 / 408
= 15
Step3:
LCM(3, 838) = 2514
GCD(3, 838) = ( 3 x 838 ) / 2514
= 3 / 838
= 3
So, Greatest Common Divisor of 240, 585, 408, 838 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 585, 408, 838
The greatest common divisor of numbers 240, 585, 408, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 585, 408, 838 is 1.
1. What is the GCD of 240, 585, 408, 838?
GCD of given numbers 240, 585, 408, 838 is 1
2. How to calculate the greatest common divisor of 240, 585, 408, 838?
We can find the highest common divisor of 240, 585, 408, 838 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 240, 585, 408, 838 i.e 1.
3. How can I use the GCD of 240, 585, 408, 838Calculator?
Out the numbers 240, 585, 408, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.