Online GCD Calculator is useful to find the GCD of 676, 225, 390, 171 quickly. Get the easiest ways to solve the greatest common divisor of 676, 225, 390, 171 i.e 1 in different methods as follows.
Given Input numbers are 676, 225, 390, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
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 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 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (676, 225, 390, 171) = 1.
Given numbers are 676, 225, 390, 171
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 171 are 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 676, 225, 390, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 225) = 152100
GCD(676, 225) = ( 676 x 225 ) / 152100
= 676 / 225
= 676
Step2:
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
= 1 / 390
= 1
Step3:
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
= 1 / 171
= 1
So, Greatest Common Divisor of 676, 225, 390, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 225, 390, 171
The greatest common divisor of numbers 676, 225, 390, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 225, 390, 171 is 1.
1. What is the GCD of 676, 225, 390, 171?
GCD of given numbers 676, 225, 390, 171 is 1
2. How to calculate the greatest common divisor of 676, 225, 390, 171?
We can find the highest common divisor of 676, 225, 390, 171 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 676, 225, 390, 171 i.e 1.
3. How can I use the GCD of 676, 225, 390, 171Calculator?
Out the numbers 676, 225, 390, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.