Online GCD Calculator is useful to find the GCD of 329, 312, 172, 157 quickly. Get the easiest ways to solve the greatest common divisor of 329, 312, 172, 157 i.e 1 in different methods as follows.
Given Input numbers are 329, 312, 172, 157
In the factoring method, we have to find the divisors of all numbers
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
GCD of numbers is the greatest common divisor
So, the GCD (329, 312, 172, 157) = 1.
Given numbers are 329, 312, 172, 157
The list of prime factors of all numbers are
Prime factors of 329 are 7 x 47
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 172 are 2 x 2 x 43
Prime factors of 157 are 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 329, 312, 172, 157
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(329, 312) = 102648
GCD(329, 312) = ( 329 x 312 ) / 102648
= 329 / 312
= 329
Step2:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
Step3:
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
= 1 / 157
= 1
So, Greatest Common Divisor of 329, 312, 172, 157 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 329, 312, 172, 157
The greatest common divisor of numbers 329, 312, 172, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 329, 312, 172, 157 is 1.
1. What is the GCD of 329, 312, 172, 157?
GCD of given numbers 329, 312, 172, 157 is 1
2. How to calculate the greatest common divisor of 329, 312, 172, 157?
We can find the highest common divisor of 329, 312, 172, 157 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 329, 312, 172, 157 i.e 1.
3. How can I use the GCD of 329, 312, 172, 157Calculator?
Out the numbers 329, 312, 172, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.