Online GCD Calculator is useful to find the GCD of 110, 822, 728, 225 quickly. Get the easiest ways to solve the greatest common divisor of 110, 822, 728, 225 i.e 1 in different methods as follows.
Given Input numbers are 110, 822, 728, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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 (110, 822, 728, 225) = 1.
Given numbers are 110, 822, 728, 225
The list of prime factors of all numbers are
Prime factors of 110 are 2 x 5 x 11
Prime factors of 822 are 2 x 3 x 137
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 110, 822, 728, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(110, 822) = 45210
GCD(110, 822) = ( 110 x 822 ) / 45210
= 110 / 822
= 110
Step2:
LCM(2, 728) = 728
GCD(2, 728) = ( 2 x 728 ) / 728
= 2 / 728
= 2
Step3:
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
= 2 / 225
= 2
So, Greatest Common Divisor of 110, 822, 728, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 110, 822, 728, 225
The greatest common divisor of numbers 110, 822, 728, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 822, 728, 225 is 1.
1. What is the GCD of 110, 822, 728, 225?
GCD of given numbers 110, 822, 728, 225 is 1
2. How to calculate the greatest common divisor of 110, 822, 728, 225?
We can find the highest common divisor of 110, 822, 728, 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 110, 822, 728, 225 i.e 1.
3. How can I use the GCD of 110, 822, 728, 225Calculator?
Out the numbers 110, 822, 728, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.