Online GCD Calculator is useful to find the GCD of 576, 150, 482, 460 quickly. Get the easiest ways to solve the greatest common divisor of 576, 150, 482, 460 i.e 2 in different methods as follows.
Given Input numbers are 576, 150, 482, 460
In the factoring method, we have to find the divisors of all numbers
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (576, 150, 482, 460) = 2.
Given numbers are 576, 150, 482, 460
The list of prime factors of all numbers are
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 482 are 2 x 241
Prime factors of 460 are 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 576, 150, 482, 460 is 2.
Given numbers are 576, 150, 482, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(576, 150) = 14400
GCD(576, 150) = ( 576 x 150 ) / 14400
= 576 / 150
= 576
Step2:
LCM(6, 482) = 1446
GCD(6, 482) = ( 6 x 482 ) / 1446
= 6 / 482
= 6
Step3:
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
= 2 / 460
= 2
So, Greatest Common Divisor of 576, 150, 482, 460 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 576, 150, 482, 460
The greatest common divisor of numbers 576, 150, 482, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 150, 482, 460 is 2.
1. What is the GCD of 576, 150, 482, 460?
GCD of given numbers 576, 150, 482, 460 is 2
2. How to calculate the greatest common divisor of 576, 150, 482, 460?
We can find the highest common divisor of 576, 150, 482, 460 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 576, 150, 482, 460 i.e 2.
3. How can I use the GCD of 576, 150, 482, 460Calculator?
Out the numbers 576, 150, 482, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.