Online GCD Calculator is useful to find the GCD of 543, 564, 228, 156 quickly. Get the easiest ways to solve the greatest common divisor of 543, 564, 228, 156 i.e 3 in different methods as follows.
Given Input numbers are 543, 564, 228, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
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 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (543, 564, 228, 156) = 3.
Given numbers are 543, 564, 228, 156
The list of prime factors of all numbers are
Prime factors of 543 are 3 x 181
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 543, 564, 228, 156 is 3.
Given numbers are 543, 564, 228, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(543, 564) = 102084
GCD(543, 564) = ( 543 x 564 ) / 102084
= 543 / 564
= 543
Step2:
LCM(3, 228) = 228
GCD(3, 228) = ( 3 x 228 ) / 228
= 3 / 228
= 3
Step3:
LCM(3, 156) = 156
GCD(3, 156) = ( 3 x 156 ) / 156
= 3 / 156
= 3
So, Greatest Common Divisor of 543, 564, 228, 156 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 543, 564, 228, 156
The greatest common divisor of numbers 543, 564, 228, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 564, 228, 156 is 3.
1. What is the GCD of 543, 564, 228, 156?
GCD of given numbers 543, 564, 228, 156 is 3
2. How to calculate the greatest common divisor of 543, 564, 228, 156?
We can find the highest common divisor of 543, 564, 228, 156 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 543, 564, 228, 156 i.e 3.
3. How can I use the GCD of 543, 564, 228, 156Calculator?
Out the numbers 543, 564, 228, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.