Online GCD Calculator is useful to find the GCD of 812, 564, 580, 336 quickly. Get the easiest ways to solve the greatest common divisor of 812, 564, 580, 336 i.e 4 in different methods as follows.
Given Input numbers are 812, 564, 580, 336
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
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 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (812, 564, 580, 336) = 4.
Given numbers are 812, 564, 580, 336
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 812, 564, 580, 336 is 4.
Given numbers are 812, 564, 580, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 564) = 114492
GCD(812, 564) = ( 812 x 564 ) / 114492
= 812 / 564
= 812
Step2:
LCM(4, 580) = 580
GCD(4, 580) = ( 4 x 580 ) / 580
= 4 / 580
= 4
Step3:
LCM(4, 336) = 336
GCD(4, 336) = ( 4 x 336 ) / 336
= 4 / 336
= 4
So, Greatest Common Divisor of 812, 564, 580, 336 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 564, 580, 336
The greatest common divisor of numbers 812, 564, 580, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 564, 580, 336 is 4.
1. What is the GCD of 812, 564, 580, 336?
GCD of given numbers 812, 564, 580, 336 is 4
2. How to calculate the greatest common divisor of 812, 564, 580, 336?
We can find the highest common divisor of 812, 564, 580, 336 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, 564, 580, 336 i.e 4.
3. How can I use the GCD of 812, 564, 580, 336Calculator?
Out the numbers 812, 564, 580, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.