Online GCD Calculator is useful to find the GCD of 312, 270, 900, 543 quickly. Get the easiest ways to solve the greatest common divisor of 312, 270, 900, 543 i.e 3 in different methods as follows.
Given Input numbers are 312, 270, 900, 543
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
GCD of numbers is the greatest common divisor
So, the GCD (312, 270, 900, 543) = 3.
Given numbers are 312, 270, 900, 543
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 543 are 3 x 181
The highest common occurrence is 31
Therefore, GCD of 312, 270, 900, 543 is 3.
Given numbers are 312, 270, 900, 543
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 270) = 14040
GCD(312, 270) = ( 312 x 270 ) / 14040
= 312 / 270
= 312
Step2:
LCM(6, 900) = 900
GCD(6, 900) = ( 6 x 900 ) / 900
= 6 / 900
= 6
Step3:
LCM(6, 543) = 1086
GCD(6, 543) = ( 6 x 543 ) / 1086
= 6 / 543
= 6
So, Greatest Common Divisor of 312, 270, 900, 543 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 270, 900, 543
The greatest common divisor of numbers 312, 270, 900, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 270, 900, 543 is 3.
1. What is the GCD of 312, 270, 900, 543?
GCD of given numbers 312, 270, 900, 543 is 3
2. How to calculate the greatest common divisor of 312, 270, 900, 543?
We can find the highest common divisor of 312, 270, 900, 543 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 312, 270, 900, 543 i.e 3.
3. How can I use the GCD of 312, 270, 900, 543Calculator?
Out the numbers 312, 270, 900, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.