Online GCD Calculator is useful to find the GCD of 580, 440, 852, 324 quickly. Get the easiest ways to solve the greatest common divisor of 580, 440, 852, 324 i.e 4 in different methods as follows.
Given Input numbers are 580, 440, 852, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (580, 440, 852, 324) = 4.
Given numbers are 580, 440, 852, 324
The list of prime factors of all numbers are
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 580, 440, 852, 324 is 4.
Given numbers are 580, 440, 852, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(580, 440) = 12760
GCD(580, 440) = ( 580 x 440 ) / 12760
= 580 / 440
= 580
Step2:
LCM(20, 852) = 4260
GCD(20, 852) = ( 20 x 852 ) / 4260
= 20 / 852
= 20
Step3:
LCM(4, 324) = 324
GCD(4, 324) = ( 4 x 324 ) / 324
= 4 / 324
= 4
So, Greatest Common Divisor of 580, 440, 852, 324 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 580, 440, 852, 324
The greatest common divisor of numbers 580, 440, 852, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 440, 852, 324 is 4.
1. What is the GCD of 580, 440, 852, 324?
GCD of given numbers 580, 440, 852, 324 is 4
2. How to calculate the greatest common divisor of 580, 440, 852, 324?
We can find the highest common divisor of 580, 440, 852, 324 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 580, 440, 852, 324 i.e 4.
3. How can I use the GCD of 580, 440, 852, 324Calculator?
Out the numbers 580, 440, 852, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.