Online GCD Calculator is useful to find the GCD of 480, 692, 360, 394 quickly. Get the easiest ways to solve the greatest common divisor of 480, 692, 360, 394 i.e 2 in different methods as follows.
Given Input numbers are 480, 692, 360, 394
In the factoring method, we have to find the divisors of all numbers
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 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (480, 692, 360, 394) = 2.
Given numbers are 480, 692, 360, 394
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 692 are 2 x 2 x 173
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 394 are 2 x 197
The highest common occurrence is 21
Therefore, GCD of 480, 692, 360, 394 is 2.
Given numbers are 480, 692, 360, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 692) = 83040
GCD(480, 692) = ( 480 x 692 ) / 83040
= 480 / 692
= 480
Step2:
LCM(4, 360) = 360
GCD(4, 360) = ( 4 x 360 ) / 360
= 4 / 360
= 4
Step3:
LCM(4, 394) = 788
GCD(4, 394) = ( 4 x 394 ) / 788
= 4 / 394
= 4
So, Greatest Common Divisor of 480, 692, 360, 394 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 692, 360, 394
The greatest common divisor of numbers 480, 692, 360, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 692, 360, 394 is 2.
1. What is the GCD of 480, 692, 360, 394?
GCD of given numbers 480, 692, 360, 394 is 2
2. How to calculate the greatest common divisor of 480, 692, 360, 394?
We can find the highest common divisor of 480, 692, 360, 394 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 480, 692, 360, 394 i.e 2.
3. How can I use the GCD of 480, 692, 360, 394Calculator?
Out the numbers 480, 692, 360, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.