Online GCD Calculator is useful to find the GCD of 828, 748, 516, 468 quickly. Get the easiest ways to solve the greatest common divisor of 828, 748, 516, 468 i.e 4 in different methods as follows.
Given Input numbers are 828, 748, 516, 468
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
GCD of numbers is the greatest common divisor
So, the GCD (828, 748, 516, 468) = 4.
Given numbers are 828, 748, 516, 468
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The highest common occurrence is 22
Therefore, GCD of 828, 748, 516, 468 is 4.
Given numbers are 828, 748, 516, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 748) = 154836
GCD(828, 748) = ( 828 x 748 ) / 154836
= 828 / 748
= 828
Step2:
LCM(4, 516) = 516
GCD(4, 516) = ( 4 x 516 ) / 516
= 4 / 516
= 4
Step3:
LCM(4, 468) = 468
GCD(4, 468) = ( 4 x 468 ) / 468
= 4 / 468
= 4
So, Greatest Common Divisor of 828, 748, 516, 468 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 748, 516, 468
The greatest common divisor of numbers 828, 748, 516, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 748, 516, 468 is 4.
1. What is the GCD of 828, 748, 516, 468?
GCD of given numbers 828, 748, 516, 468 is 4
2. How to calculate the greatest common divisor of 828, 748, 516, 468?
We can find the highest common divisor of 828, 748, 516, 468 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 828, 748, 516, 468 i.e 4.
3. How can I use the GCD of 828, 748, 516, 468Calculator?
Out the numbers 828, 748, 516, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.