Online GCD Calculator is useful to find the GCD of 722, 170, 390, 225 quickly. Get the easiest ways to solve the greatest common divisor of 722, 170, 390, 225 i.e 1 in different methods as follows.
Given Input numbers are 722, 170, 390, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
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 (722, 170, 390, 225) = 1.
Given numbers are 722, 170, 390, 225
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 170 are 2 x 5 x 17
Prime factors of 390 are 2 x 3 x 5 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 722, 170, 390, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 170) = 61370
GCD(722, 170) = ( 722 x 170 ) / 61370
= 722 / 170
= 722
Step2:
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
= 2 / 390
= 2
Step3:
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
= 2 / 225
= 2
So, Greatest Common Divisor of 722, 170, 390, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 170, 390, 225
The greatest common divisor of numbers 722, 170, 390, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 170, 390, 225 is 1.
1. What is the GCD of 722, 170, 390, 225?
GCD of given numbers 722, 170, 390, 225 is 1
2. How to calculate the greatest common divisor of 722, 170, 390, 225?
We can find the highest common divisor of 722, 170, 390, 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 722, 170, 390, 225 i.e 1.
3. How can I use the GCD of 722, 170, 390, 225Calculator?
Out the numbers 722, 170, 390, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.