Online GCD Calculator is useful to find the GCD of 828, 792, 720, 180 quickly. Get the easiest ways to solve the greatest common divisor of 828, 792, 720, 180 i.e 36 in different methods as follows.
Given Input numbers are 828, 792, 720, 180
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 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (828, 792, 720, 180) = 36.
Given numbers are 828, 792, 720, 180
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 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 22 x 32
Therefore, GCD of 828, 792, 720, 180 is 36.
Given numbers are 828, 792, 720, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 792) = 18216
GCD(828, 792) = ( 828 x 792 ) / 18216
= 828 / 792
= 828
Step2:
LCM(36, 720) = 720
GCD(36, 720) = ( 36 x 720 ) / 720
= 36 / 720
= 36
Step3:
LCM(36, 180) = 180
GCD(36, 180) = ( 36 x 180 ) / 180
= 36 / 180
= 36
So, Greatest Common Divisor of 828, 792, 720, 180 is 36
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 792, 720, 180
The greatest common divisor of numbers 828, 792, 720, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 792, 720, 180 is 36.
1. What is the GCD of 828, 792, 720, 180?
GCD of given numbers 828, 792, 720, 180 is 36
2. How to calculate the greatest common divisor of 828, 792, 720, 180?
We can find the highest common divisor of 828, 792, 720, 180 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, 792, 720, 180 i.e 36.
3. How can I use the GCD of 828, 792, 720, 180Calculator?
Out the numbers 828, 792, 720, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.