Online GCD Calculator is useful to find the GCD of 654, 906, 888, 225 quickly. Get the easiest ways to solve the greatest common divisor of 654, 906, 888, 225 i.e 3 in different methods as follows.
Given Input numbers are 654, 906, 888, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (654, 906, 888, 225) = 3.
Given numbers are 654, 906, 888, 225
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 906 are 2 x 3 x 151
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 654, 906, 888, 225 is 3.
Given numbers are 654, 906, 888, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 906) = 98754
GCD(654, 906) = ( 654 x 906 ) / 98754
= 654 / 906
= 654
Step2:
LCM(6, 888) = 888
GCD(6, 888) = ( 6 x 888 ) / 888
= 6 / 888
= 6
Step3:
LCM(6, 225) = 450
GCD(6, 225) = ( 6 x 225 ) / 450
= 6 / 225
= 6
So, Greatest Common Divisor of 654, 906, 888, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 906, 888, 225
The greatest common divisor of numbers 654, 906, 888, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 906, 888, 225 is 3.
1. What is the GCD of 654, 906, 888, 225?
GCD of given numbers 654, 906, 888, 225 is 3
2. How to calculate the greatest common divisor of 654, 906, 888, 225?
We can find the highest common divisor of 654, 906, 888, 225 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 654, 906, 888, 225 i.e 3.
3. How can I use the GCD of 654, 906, 888, 225Calculator?
Out the numbers 654, 906, 888, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.