Online GCD Calculator is useful to find the GCD of 552, 270, 462, 516 quickly. Get the easiest ways to solve the greatest common divisor of 552, 270, 462, 516 i.e 6 in different methods as follows.
Given Input numbers are 552, 270, 462, 516
In the factoring method, we have to find the divisors of all numbers
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
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 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
GCD of numbers is the greatest common divisor
So, the GCD (552, 270, 462, 516) = 6.
Given numbers are 552, 270, 462, 516
The list of prime factors of all numbers are
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 516 are 2 x 2 x 3 x 43
The highest common occurrence is 21 x 31
Therefore, GCD of 552, 270, 462, 516 is 6.
Given numbers are 552, 270, 462, 516
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 270) = 24840
GCD(552, 270) = ( 552 x 270 ) / 24840
= 552 / 270
= 552
Step2:
LCM(6, 462) = 462
GCD(6, 462) = ( 6 x 462 ) / 462
= 6 / 462
= 6
Step3:
LCM(6, 516) = 516
GCD(6, 516) = ( 6 x 516 ) / 516
= 6 / 516
= 6
So, Greatest Common Divisor of 552, 270, 462, 516 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 270, 462, 516
The greatest common divisor of numbers 552, 270, 462, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 270, 462, 516 is 6.
1. What is the GCD of 552, 270, 462, 516?
GCD of given numbers 552, 270, 462, 516 is 6
2. How to calculate the greatest common divisor of 552, 270, 462, 516?
We can find the highest common divisor of 552, 270, 462, 516 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 552, 270, 462, 516 i.e 6.
3. How can I use the GCD of 552, 270, 462, 516Calculator?
Out the numbers 552, 270, 462, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.