Online GCD Calculator is useful to find the GCD of 345, 342, 513, 431 quickly. Get the easiest ways to solve the greatest common divisor of 345, 342, 513, 431 i.e 1 in different methods as follows.
Given Input numbers are 345, 342, 513, 431
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
GCD of numbers is the greatest common divisor
So, the GCD (345, 342, 513, 431) = 1.
Given numbers are 345, 342, 513, 431
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 431 are 431
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 342, 513, 431
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 342) = 39330
GCD(345, 342) = ( 345 x 342 ) / 39330
= 345 / 342
= 345
Step2:
LCM(3, 513) = 513
GCD(3, 513) = ( 3 x 513 ) / 513
= 3 / 513
= 3
Step3:
LCM(3, 431) = 1293
GCD(3, 431) = ( 3 x 431 ) / 1293
= 3 / 431
= 3
So, Greatest Common Divisor of 345, 342, 513, 431 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 342, 513, 431
The greatest common divisor of numbers 345, 342, 513, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 342, 513, 431 is 1.
1. What is the GCD of 345, 342, 513, 431?
GCD of given numbers 345, 342, 513, 431 is 1
2. How to calculate the greatest common divisor of 345, 342, 513, 431?
We can find the highest common divisor of 345, 342, 513, 431 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 345, 342, 513, 431 i.e 1.
3. How can I use the GCD of 345, 342, 513, 431Calculator?
Out the numbers 345, 342, 513, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.