Online GCD Calculator is useful to find the GCD of 512, 120, 412, 461 quickly. Get the easiest ways to solve the greatest common divisor of 512, 120, 412, 461 i.e 1 in different methods as follows.
Given Input numbers are 512, 120, 412, 461
In the factoring method, we have to find the divisors of all numbers
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
GCD of numbers is the greatest common divisor
So, the GCD (512, 120, 412, 461) = 1.
Given numbers are 512, 120, 412, 461
The list of prime factors of all numbers are
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 412 are 2 x 2 x 103
Prime factors of 461 are 461
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 512, 120, 412, 461
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(512, 120) = 7680
GCD(512, 120) = ( 512 x 120 ) / 7680
= 512 / 120
= 512
Step2:
LCM(8, 412) = 824
GCD(8, 412) = ( 8 x 412 ) / 824
= 8 / 412
= 8
Step3:
LCM(4, 461) = 1844
GCD(4, 461) = ( 4 x 461 ) / 1844
= 4 / 461
= 4
So, Greatest Common Divisor of 512, 120, 412, 461 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 512, 120, 412, 461
The greatest common divisor of numbers 512, 120, 412, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 120, 412, 461 is 1.
1. What is the GCD of 512, 120, 412, 461?
GCD of given numbers 512, 120, 412, 461 is 1
2. How to calculate the greatest common divisor of 512, 120, 412, 461?
We can find the highest common divisor of 512, 120, 412, 461 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 512, 120, 412, 461 i.e 1.
3. How can I use the GCD of 512, 120, 412, 461Calculator?
Out the numbers 512, 120, 412, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.