Online GCD Calculator is useful to find the GCD of 513, 525, 834, 363 quickly. Get the easiest ways to solve the greatest common divisor of 513, 525, 834, 363 i.e 3 in different methods as follows.
Given Input numbers are 513, 525, 834, 363
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 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (513, 525, 834, 363) = 3.
Given numbers are 513, 525, 834, 363
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 834 are 2 x 3 x 139
Prime factors of 363 are 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 513, 525, 834, 363 is 3.
Given numbers are 513, 525, 834, 363
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 525) = 89775
GCD(513, 525) = ( 513 x 525 ) / 89775
= 513 / 525
= 513
Step2:
LCM(3, 834) = 834
GCD(3, 834) = ( 3 x 834 ) / 834
= 3 / 834
= 3
Step3:
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
= 3 / 363
= 3
So, Greatest Common Divisor of 513, 525, 834, 363 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 525, 834, 363
The greatest common divisor of numbers 513, 525, 834, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 525, 834, 363 is 3.
1. What is the GCD of 513, 525, 834, 363?
GCD of given numbers 513, 525, 834, 363 is 3
2. How to calculate the greatest common divisor of 513, 525, 834, 363?
We can find the highest common divisor of 513, 525, 834, 363 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, 525, 834, 363 i.e 3.
3. How can I use the GCD of 513, 525, 834, 363Calculator?
Out the numbers 513, 525, 834, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.