Online GCD Calculator is useful to find the GCD of 520, 576, 364, 213 quickly. Get the easiest ways to solve the greatest common divisor of 520, 576, 364, 213 i.e 1 in different methods as follows.
Given Input numbers are 520, 576, 364, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (520, 576, 364, 213) = 1.
Given numbers are 520, 576, 364, 213
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 520, 576, 364, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 576) = 37440
GCD(520, 576) = ( 520 x 576 ) / 37440
= 520 / 576
= 520
Step2:
LCM(8, 364) = 728
GCD(8, 364) = ( 8 x 364 ) / 728
= 8 / 364
= 8
Step3:
LCM(4, 213) = 852
GCD(4, 213) = ( 4 x 213 ) / 852
= 4 / 213
= 4
So, Greatest Common Divisor of 520, 576, 364, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 576, 364, 213
The greatest common divisor of numbers 520, 576, 364, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 576, 364, 213 is 1.
1. What is the GCD of 520, 576, 364, 213?
GCD of given numbers 520, 576, 364, 213 is 1
2. How to calculate the greatest common divisor of 520, 576, 364, 213?
We can find the highest common divisor of 520, 576, 364, 213 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 520, 576, 364, 213 i.e 1.
3. How can I use the GCD of 520, 576, 364, 213Calculator?
Out the numbers 520, 576, 364, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.