Online GCD Calculator is useful to find the GCD of 462, 650, 466, 704 quickly. Get the easiest ways to solve the greatest common divisor of 462, 650, 466, 704 i.e 2 in different methods as follows.
Given Input numbers are 462, 650, 466, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (462, 650, 466, 704) = 2.
Given numbers are 462, 650, 466, 704
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 466 are 2 x 233
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 462, 650, 466, 704 is 2.
Given numbers are 462, 650, 466, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 650) = 150150
GCD(462, 650) = ( 462 x 650 ) / 150150
= 462 / 650
= 462
Step2:
LCM(2, 466) = 466
GCD(2, 466) = ( 2 x 466 ) / 466
= 2 / 466
= 2
Step3:
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
= 2 / 704
= 2
So, Greatest Common Divisor of 462, 650, 466, 704 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 650, 466, 704
The greatest common divisor of numbers 462, 650, 466, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 650, 466, 704 is 2.
1. What is the GCD of 462, 650, 466, 704?
GCD of given numbers 462, 650, 466, 704 is 2
2. How to calculate the greatest common divisor of 462, 650, 466, 704?
We can find the highest common divisor of 462, 650, 466, 704 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 462, 650, 466, 704 i.e 2.
3. How can I use the GCD of 462, 650, 466, 704Calculator?
Out the numbers 462, 650, 466, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.