Online GCD Calculator is useful to find the GCD of 343, 465, 460, 171 quickly. Get the easiest ways to solve the greatest common divisor of 343, 465, 460, 171 i.e 1 in different methods as follows.
Given Input numbers are 343, 465, 460, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 (343, 465, 460, 171) = 1.
Given numbers are 343, 465, 460, 171
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 465 are 3 x 5 x 31
Prime factors of 460 are 2 x 2 x 5 x 23
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 343, 465, 460, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 465) = 159495
GCD(343, 465) = ( 343 x 465 ) / 159495
= 343 / 465
= 343
Step2:
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
= 1 / 460
= 1
Step3:
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
= 1 / 171
= 1
So, Greatest Common Divisor of 343, 465, 460, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 465, 460, 171
The greatest common divisor of numbers 343, 465, 460, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 465, 460, 171 is 1.
1. What is the GCD of 343, 465, 460, 171?
GCD of given numbers 343, 465, 460, 171 is 1
2. How to calculate the greatest common divisor of 343, 465, 460, 171?
We can find the highest common divisor of 343, 465, 460, 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 343, 465, 460, 171 i.e 1.
3. How can I use the GCD of 343, 465, 460, 171Calculator?
Out the numbers 343, 465, 460, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.