Online GCD Calculator is useful to find the GCD of 567, 975, 810, 612 quickly. Get the easiest ways to solve the greatest common divisor of 567, 975, 810, 612 i.e 3 in different methods as follows.
Given Input numbers are 567, 975, 810, 612
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
GCD of numbers is the greatest common divisor
So, the GCD (567, 975, 810, 612) = 3.
Given numbers are 567, 975, 810, 612
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 567, 975, 810, 612 is 3.
Given numbers are 567, 975, 810, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 975) = 184275
GCD(567, 975) = ( 567 x 975 ) / 184275
= 567 / 975
= 567
Step2:
LCM(3, 810) = 810
GCD(3, 810) = ( 3 x 810 ) / 810
= 3 / 810
= 3
Step3:
LCM(3, 612) = 612
GCD(3, 612) = ( 3 x 612 ) / 612
= 3 / 612
= 3
So, Greatest Common Divisor of 567, 975, 810, 612 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 975, 810, 612
The greatest common divisor of numbers 567, 975, 810, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 975, 810, 612 is 3.
1. What is the GCD of 567, 975, 810, 612?
GCD of given numbers 567, 975, 810, 612 is 3
2. How to calculate the greatest common divisor of 567, 975, 810, 612?
We can find the highest common divisor of 567, 975, 810, 612 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 567, 975, 810, 612 i.e 3.
3. How can I use the GCD of 567, 975, 810, 612Calculator?
Out the numbers 567, 975, 810, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.