Online GCD Calculator is useful to find the GCD of 812, 588, 254, 180 quickly. Get the easiest ways to solve the greatest common divisor of 812, 588, 254, 180 i.e 2 in different methods as follows.
Given Input numbers are 812, 588, 254, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 254 :
The positive integer divisors of 254 that completely divides 254 are.
1, 2, 127, 254
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 (812, 588, 254, 180) = 2.
Given numbers are 812, 588, 254, 180
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 254 are 2 x 127
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 812, 588, 254, 180 is 2.
Given numbers are 812, 588, 254, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 588) = 17052
GCD(812, 588) = ( 812 x 588 ) / 17052
= 812 / 588
= 812
Step2:
LCM(28, 254) = 3556
GCD(28, 254) = ( 28 x 254 ) / 3556
= 28 / 254
= 28
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 812, 588, 254, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 588, 254, 180
The greatest common divisor of numbers 812, 588, 254, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 588, 254, 180 is 2.
1. What is the GCD of 812, 588, 254, 180?
GCD of given numbers 812, 588, 254, 180 is 2
2. How to calculate the greatest common divisor of 812, 588, 254, 180?
We can find the highest common divisor of 812, 588, 254, 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 812, 588, 254, 180 i.e 2.
3. How can I use the GCD of 812, 588, 254, 180Calculator?
Out the numbers 812, 588, 254, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.