Online GCD Calculator is useful to find the GCD of 723, 327, 424, 172 quickly. Get the easiest ways to solve the greatest common divisor of 723, 327, 424, 172 i.e 1 in different methods as follows.
Given Input numbers are 723, 327, 424, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (723, 327, 424, 172) = 1.
Given numbers are 723, 327, 424, 172
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 327 are 3 x 109
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 723, 327, 424, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 327) = 78807
GCD(723, 327) = ( 723 x 327 ) / 78807
= 723 / 327
= 723
Step2:
LCM(3, 424) = 1272
GCD(3, 424) = ( 3 x 424 ) / 1272
= 3 / 424
= 3
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 723, 327, 424, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 327, 424, 172
The greatest common divisor of numbers 723, 327, 424, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 327, 424, 172 is 1.
1. What is the GCD of 723, 327, 424, 172?
GCD of given numbers 723, 327, 424, 172 is 1
2. How to calculate the greatest common divisor of 723, 327, 424, 172?
We can find the highest common divisor of 723, 327, 424, 172 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 723, 327, 424, 172 i.e 1.
3. How can I use the GCD of 723, 327, 424, 172Calculator?
Out the numbers 723, 327, 424, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.