Online GCD Calculator is useful to find the GCD of 552, 900, 408 quickly. Get the easiest ways to solve the greatest common divisor of 552, 900, 408 i.e 12 in different methods as follows.
Given Input numbers are 552, 900, 408
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 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 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD of numbers is the greatest common divisor
So, the GCD (552, 900, 408) = 12.
Given numbers are 552, 900, 408
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 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 22 x 31
Therefore, GCD of 552, 900, 408 is 12.
Given numbers are 552, 900, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 900) = 41400
GCD(552, 900) = ( 552 x 900 ) / 41400
= 552 / 900
= 552
Step2:
LCM(12, 408) = 408
GCD(12, 408) = ( 12 x 408 ) / 408
= 12 / 408
= 12
So, Greatest Common Divisor of 552, 900, 408 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 900, 408
The greatest common divisor of numbers 552, 900, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 900, 408 is 12.
1. What is the GCD of 552, 900, 408?
GCD of given numbers 552, 900, 408 is 12
2. How to calculate the greatest common divisor of 552, 900, 408?
We can find the highest common divisor of 552, 900, 408 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, 900, 408 i.e 12.
3. How can I use the GCD of 552, 900, 408Calculator?
Out the numbers 552, 900, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.