Online GCD Calculator is useful to find the GCD of 480, 125, 452, 171 quickly. Get the easiest ways to solve the greatest common divisor of 480, 125, 452, 171 i.e 1 in different methods as follows.
Given Input numbers are 480, 125, 452, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
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 (480, 125, 452, 171) = 1.
Given numbers are 480, 125, 452, 171
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 125 are 5 x 5 x 5
Prime factors of 452 are 2 x 2 x 113
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 480, 125, 452, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 125) = 12000
GCD(480, 125) = ( 480 x 125 ) / 12000
= 480 / 125
= 480
Step2:
LCM(5, 452) = 2260
GCD(5, 452) = ( 5 x 452 ) / 2260
= 5 / 452
= 5
Step3:
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
= 1 / 171
= 1
So, Greatest Common Divisor of 480, 125, 452, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 125, 452, 171
The greatest common divisor of numbers 480, 125, 452, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 125, 452, 171 is 1.
1. What is the GCD of 480, 125, 452, 171?
GCD of given numbers 480, 125, 452, 171 is 1
2. How to calculate the greatest common divisor of 480, 125, 452, 171?
We can find the highest common divisor of 480, 125, 452, 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 480, 125, 452, 171 i.e 1.
3. How can I use the GCD of 480, 125, 452, 171Calculator?
Out the numbers 480, 125, 452, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.