Online GCD Calculator is useful to find the GCD of 464, 872, 460, 828 quickly. Get the easiest ways to solve the greatest common divisor of 464, 872, 460, 828 i.e 4 in different methods as follows.
Given Input numbers are 464, 872, 460, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
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 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (464, 872, 460, 828) = 4.
Given numbers are 464, 872, 460, 828
The list of prime factors of all numbers are
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 22
Therefore, GCD of 464, 872, 460, 828 is 4.
Given numbers are 464, 872, 460, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(464, 872) = 50576
GCD(464, 872) = ( 464 x 872 ) / 50576
= 464 / 872
= 464
Step2:
LCM(8, 460) = 920
GCD(8, 460) = ( 8 x 460 ) / 920
= 8 / 460
= 8
Step3:
LCM(4, 828) = 828
GCD(4, 828) = ( 4 x 828 ) / 828
= 4 / 828
= 4
So, Greatest Common Divisor of 464, 872, 460, 828 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 464, 872, 460, 828
The greatest common divisor of numbers 464, 872, 460, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 872, 460, 828 is 4.
1. What is the GCD of 464, 872, 460, 828?
GCD of given numbers 464, 872, 460, 828 is 4
2. How to calculate the greatest common divisor of 464, 872, 460, 828?
We can find the highest common divisor of 464, 872, 460, 828 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 464, 872, 460, 828 i.e 4.
3. How can I use the GCD of 464, 872, 460, 828Calculator?
Out the numbers 464, 872, 460, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.