Online GCD Calculator is useful to find the GCD of 810, 564, 537, 426 quickly. Get the easiest ways to solve the greatest common divisor of 810, 564, 537, 426 i.e 3 in different methods as follows.
Given Input numbers are 810, 564, 537, 426
In the factoring method, we have to find the divisors of all numbers
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 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 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (810, 564, 537, 426) = 3.
Given numbers are 810, 564, 537, 426
The list of prime factors of all numbers are
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 537 are 3 x 179
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 31
Therefore, GCD of 810, 564, 537, 426 is 3.
Given numbers are 810, 564, 537, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(810, 564) = 76140
GCD(810, 564) = ( 810 x 564 ) / 76140
= 810 / 564
= 810
Step2:
LCM(6, 537) = 1074
GCD(6, 537) = ( 6 x 537 ) / 1074
= 6 / 537
= 6
Step3:
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
= 3 / 426
= 3
So, Greatest Common Divisor of 810, 564, 537, 426 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 810, 564, 537, 426
The greatest common divisor of numbers 810, 564, 537, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 564, 537, 426 is 3.
1. What is the GCD of 810, 564, 537, 426?
GCD of given numbers 810, 564, 537, 426 is 3
2. How to calculate the greatest common divisor of 810, 564, 537, 426?
We can find the highest common divisor of 810, 564, 537, 426 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 810, 564, 537, 426 i.e 3.
3. How can I use the GCD of 810, 564, 537, 426Calculator?
Out the numbers 810, 564, 537, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.