Online GCD Calculator is useful to find the GCD of 460, 216, 264, 704 quickly. Get the easiest ways to solve the greatest common divisor of 460, 216, 264, 704 i.e 4 in different methods as follows.
Given Input numbers are 460, 216, 264, 704
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
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 (460, 216, 264, 704) = 4.
Given numbers are 460, 216, 264, 704
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 22
Therefore, GCD of 460, 216, 264, 704 is 4.
Given numbers are 460, 216, 264, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 216) = 24840
GCD(460, 216) = ( 460 x 216 ) / 24840
= 460 / 216
= 460
Step2:
LCM(4, 264) = 264
GCD(4, 264) = ( 4 x 264 ) / 264
= 4 / 264
= 4
Step3:
LCM(4, 704) = 704
GCD(4, 704) = ( 4 x 704 ) / 704
= 4 / 704
= 4
So, Greatest Common Divisor of 460, 216, 264, 704 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 216, 264, 704
The greatest common divisor of numbers 460, 216, 264, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 216, 264, 704 is 4.
1. What is the GCD of 460, 216, 264, 704?
GCD of given numbers 460, 216, 264, 704 is 4
2. How to calculate the greatest common divisor of 460, 216, 264, 704?
We can find the highest common divisor of 460, 216, 264, 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 460, 216, 264, 704 i.e 4.
3. How can I use the GCD of 460, 216, 264, 704Calculator?
Out the numbers 460, 216, 264, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.