Online GCD Calculator is useful to find the GCD of 225, 822, 201, 914 quickly. Get the easiest ways to solve the greatest common divisor of 225, 822, 201, 914 i.e 1 in different methods as follows.
Given Input numbers are 225, 822, 201, 914
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
GCD of numbers is the greatest common divisor
So, the GCD (225, 822, 201, 914) = 1.
Given numbers are 225, 822, 201, 914
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 822 are 2 x 3 x 137
Prime factors of 201 are 3 x 67
Prime factors of 914 are 2 x 457
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 822, 201, 914
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 822) = 61650
GCD(225, 822) = ( 225 x 822 ) / 61650
= 225 / 822
= 225
Step2:
LCM(3, 201) = 201
GCD(3, 201) = ( 3 x 201 ) / 201
= 3 / 201
= 3
Step3:
LCM(3, 914) = 2742
GCD(3, 914) = ( 3 x 914 ) / 2742
= 3 / 914
= 3
So, Greatest Common Divisor of 225, 822, 201, 914 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 822, 201, 914
The greatest common divisor of numbers 225, 822, 201, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 822, 201, 914 is 1.
1. What is the GCD of 225, 822, 201, 914?
GCD of given numbers 225, 822, 201, 914 is 1
2. How to calculate the greatest common divisor of 225, 822, 201, 914?
We can find the highest common divisor of 225, 822, 201, 914 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 225, 822, 201, 914 i.e 1.
3. How can I use the GCD of 225, 822, 201, 914Calculator?
Out the numbers 225, 822, 201, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.