Online GCD Calculator is useful to find the GCD of 513, 323, 221, 852 quickly. Get the easiest ways to solve the greatest common divisor of 513, 323, 221, 852 i.e 1 in different methods as follows.
Given Input numbers are 513, 323, 221, 852
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 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
GCD of numbers is the greatest common divisor
So, the GCD (513, 323, 221, 852) = 1.
Given numbers are 513, 323, 221, 852
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 323 are 17 x 19
Prime factors of 221 are 13 x 17
Prime factors of 852 are 2 x 2 x 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 323, 221, 852
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 323) = 8721
GCD(513, 323) = ( 513 x 323 ) / 8721
= 513 / 323
= 513
Step2:
LCM(19, 221) = 4199
GCD(19, 221) = ( 19 x 221 ) / 4199
= 19 / 221
= 19
Step3:
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
= 1 / 852
= 1
So, Greatest Common Divisor of 513, 323, 221, 852 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 323, 221, 852
The greatest common divisor of numbers 513, 323, 221, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 323, 221, 852 is 1.
1. What is the GCD of 513, 323, 221, 852?
GCD of given numbers 513, 323, 221, 852 is 1
2. How to calculate the greatest common divisor of 513, 323, 221, 852?
We can find the highest common divisor of 513, 323, 221, 852 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, 323, 221, 852 i.e 1.
3. How can I use the GCD of 513, 323, 221, 852Calculator?
Out the numbers 513, 323, 221, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.