Online GCD Calculator is useful to find the GCD of 513, 429, 399, 230 quickly. Get the easiest ways to solve the greatest common divisor of 513, 429, 399, 230 i.e 1 in different methods as follows.
Given Input numbers are 513, 429, 399, 230
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
GCD of numbers is the greatest common divisor
So, the GCD (513, 429, 399, 230) = 1.
Given numbers are 513, 429, 399, 230
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 429 are 3 x 11 x 13
Prime factors of 399 are 3 x 7 x 19
Prime factors of 230 are 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 429, 399, 230
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 429) = 73359
GCD(513, 429) = ( 513 x 429 ) / 73359
= 513 / 429
= 513
Step2:
LCM(3, 399) = 399
GCD(3, 399) = ( 3 x 399 ) / 399
= 3 / 399
= 3
Step3:
LCM(3, 230) = 690
GCD(3, 230) = ( 3 x 230 ) / 690
= 3 / 230
= 3
So, Greatest Common Divisor of 513, 429, 399, 230 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 429, 399, 230
The greatest common divisor of numbers 513, 429, 399, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 429, 399, 230 is 1.
1. What is the GCD of 513, 429, 399, 230?
GCD of given numbers 513, 429, 399, 230 is 1
2. How to calculate the greatest common divisor of 513, 429, 399, 230?
We can find the highest common divisor of 513, 429, 399, 230 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 513, 429, 399, 230 i.e 1.
3. How can I use the GCD of 513, 429, 399, 230Calculator?
Out the numbers 513, 429, 399, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.