Online GCD Calculator is useful to find the GCD of 513, 238, 220, 229 quickly. Get the easiest ways to solve the greatest common divisor of 513, 238, 220, 229 i.e 1 in different methods as follows.
Given Input numbers are 513, 238, 220, 229
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 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 229 :
The positive integer divisors of 229 that completely divides 229 are.
1, 229
GCD of numbers is the greatest common divisor
So, the GCD (513, 238, 220, 229) = 1.
Given numbers are 513, 238, 220, 229
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 238 are 2 x 7 x 17
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 229 are 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 238, 220, 229
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 238) = 122094
GCD(513, 238) = ( 513 x 238 ) / 122094
= 513 / 238
= 513
Step2:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
Step3:
LCM(1, 229) = 229
GCD(1, 229) = ( 1 x 229 ) / 229
= 1 / 229
= 1
So, Greatest Common Divisor of 513, 238, 220, 229 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 238, 220, 229
The greatest common divisor of numbers 513, 238, 220, 229 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 238, 220, 229 is 1.
1. What is the GCD of 513, 238, 220, 229?
GCD of given numbers 513, 238, 220, 229 is 1
2. How to calculate the greatest common divisor of 513, 238, 220, 229?
We can find the highest common divisor of 513, 238, 220, 229 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, 238, 220, 229 i.e 1.
3. How can I use the GCD of 513, 238, 220, 229Calculator?
Out the numbers 513, 238, 220, 229 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.