Online GCD Calculator is useful to find the GCD of 324, 194, 429, 172 quickly. Get the easiest ways to solve the greatest common divisor of 324, 194, 429, 172 i.e 1 in different methods as follows.
Given Input numbers are 324, 194, 429, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
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 (324, 194, 429, 172) = 1.
Given numbers are 324, 194, 429, 172
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 194 are 2 x 97
Prime factors of 429 are 3 x 11 x 13
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 324, 194, 429, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 194) = 31428
GCD(324, 194) = ( 324 x 194 ) / 31428
= 324 / 194
= 324
Step2:
LCM(2, 429) = 858
GCD(2, 429) = ( 2 x 429 ) / 858
= 2 / 429
= 2
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 324, 194, 429, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 194, 429, 172
The greatest common divisor of numbers 324, 194, 429, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 194, 429, 172 is 1.
1. What is the GCD of 324, 194, 429, 172?
GCD of given numbers 324, 194, 429, 172 is 1
2. How to calculate the greatest common divisor of 324, 194, 429, 172?
We can find the highest common divisor of 324, 194, 429, 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 324, 194, 429, 172 i.e 1.
3. How can I use the GCD of 324, 194, 429, 172Calculator?
Out the numbers 324, 194, 429, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.