Online GCD Calculator is useful to find the GCD of 129, 348, 314, 272 quickly. Get the easiest ways to solve the greatest common divisor of 129, 348, 314, 272 i.e 1 in different methods as follows.
Given Input numbers are 129, 348, 314, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (129, 348, 314, 272) = 1.
Given numbers are 129, 348, 314, 272
The list of prime factors of all numbers are
Prime factors of 129 are 3 x 43
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 314 are 2 x 157
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 129, 348, 314, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(129, 348) = 14964
GCD(129, 348) = ( 129 x 348 ) / 14964
= 129 / 348
= 129
Step2:
LCM(3, 314) = 942
GCD(3, 314) = ( 3 x 314 ) / 942
= 3 / 314
= 3
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 129, 348, 314, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 129, 348, 314, 272
The greatest common divisor of numbers 129, 348, 314, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 348, 314, 272 is 1.
1. What is the GCD of 129, 348, 314, 272?
GCD of given numbers 129, 348, 314, 272 is 1
2. How to calculate the greatest common divisor of 129, 348, 314, 272?
We can find the highest common divisor of 129, 348, 314, 272 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 129, 348, 314, 272 i.e 1.
3. How can I use the GCD of 129, 348, 314, 272Calculator?
Out the numbers 129, 348, 314, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.