Online GCD Calculator is useful to find the GCD of 180, 500, 902, 396 quickly. Get the easiest ways to solve the greatest common divisor of 180, 500, 902, 396 i.e 2 in different methods as follows.
Given Input numbers are 180, 500, 902, 396
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (180, 500, 902, 396) = 2.
Given numbers are 180, 500, 902, 396
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 902 are 2 x 11 x 41
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 180, 500, 902, 396 is 2.
Given numbers are 180, 500, 902, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 500) = 4500
GCD(180, 500) = ( 180 x 500 ) / 4500
= 180 / 500
= 180
Step2:
LCM(20, 902) = 9020
GCD(20, 902) = ( 20 x 902 ) / 9020
= 20 / 902
= 20
Step3:
LCM(2, 396) = 396
GCD(2, 396) = ( 2 x 396 ) / 396
= 2 / 396
= 2
So, Greatest Common Divisor of 180, 500, 902, 396 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 500, 902, 396
The greatest common divisor of numbers 180, 500, 902, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 500, 902, 396 is 2.
1. What is the GCD of 180, 500, 902, 396?
GCD of given numbers 180, 500, 902, 396 is 2
2. How to calculate the greatest common divisor of 180, 500, 902, 396?
We can find the highest common divisor of 180, 500, 902, 396 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 180, 500, 902, 396 i.e 2.
3. How can I use the GCD of 180, 500, 902, 396Calculator?
Out the numbers 180, 500, 902, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.