Online GCD Calculator is useful to find the GCD of 600, 480, 522, 409 quickly. Get the easiest ways to solve the greatest common divisor of 600, 480, 522, 409 i.e 1 in different methods as follows.
Given Input numbers are 600, 480, 522, 409
In the factoring method, we have to find the divisors of all numbers
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
GCD of numbers is the greatest common divisor
So, the GCD (600, 480, 522, 409) = 1.
Given numbers are 600, 480, 522, 409
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 409 are 409
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 600, 480, 522, 409
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 480) = 2400
GCD(600, 480) = ( 600 x 480 ) / 2400
= 600 / 480
= 600
Step2:
LCM(120, 522) = 10440
GCD(120, 522) = ( 120 x 522 ) / 10440
= 120 / 522
= 120
Step3:
LCM(6, 409) = 2454
GCD(6, 409) = ( 6 x 409 ) / 2454
= 6 / 409
= 6
So, Greatest Common Divisor of 600, 480, 522, 409 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 480, 522, 409
The greatest common divisor of numbers 600, 480, 522, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 480, 522, 409 is 1.
1. What is the GCD of 600, 480, 522, 409?
GCD of given numbers 600, 480, 522, 409 is 1
2. How to calculate the greatest common divisor of 600, 480, 522, 409?
We can find the highest common divisor of 600, 480, 522, 409 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 600, 480, 522, 409 i.e 1.
3. How can I use the GCD of 600, 480, 522, 409Calculator?
Out the numbers 600, 480, 522, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.