Online GCD Calculator is useful to find the GCD of 728, 520, 524, 289 quickly. Get the easiest ways to solve the greatest common divisor of 728, 520, 524, 289 i.e 1 in different methods as follows.
Given Input numbers are 728, 520, 524, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (728, 520, 524, 289) = 1.
Given numbers are 728, 520, 524, 289
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 524 are 2 x 2 x 131
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 520, 524, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 520) = 3640
GCD(728, 520) = ( 728 x 520 ) / 3640
= 728 / 520
= 728
Step2:
LCM(104, 524) = 13624
GCD(104, 524) = ( 104 x 524 ) / 13624
= 104 / 524
= 104
Step3:
LCM(4, 289) = 1156
GCD(4, 289) = ( 4 x 289 ) / 1156
= 4 / 289
= 4
So, Greatest Common Divisor of 728, 520, 524, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 520, 524, 289
The greatest common divisor of numbers 728, 520, 524, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 520, 524, 289 is 1.
1. What is the GCD of 728, 520, 524, 289?
GCD of given numbers 728, 520, 524, 289 is 1
2. How to calculate the greatest common divisor of 728, 520, 524, 289?
We can find the highest common divisor of 728, 520, 524, 289 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 728, 520, 524, 289 i.e 1.
3. How can I use the GCD of 728, 520, 524, 289Calculator?
Out the numbers 728, 520, 524, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.