Online GCD Calculator is useful to find the GCD of 513, 423, 696, 300 quickly. Get the easiest ways to solve the greatest common divisor of 513, 423, 696, 300 i.e 3 in different methods as follows.
Given Input numbers are 513, 423, 696, 300
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 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (513, 423, 696, 300) = 3.
Given numbers are 513, 423, 696, 300
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 423 are 3 x 3 x 47
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 513, 423, 696, 300 is 3.
Given numbers are 513, 423, 696, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 423) = 24111
GCD(513, 423) = ( 513 x 423 ) / 24111
= 513 / 423
= 513
Step2:
LCM(9, 696) = 2088
GCD(9, 696) = ( 9 x 696 ) / 2088
= 9 / 696
= 9
Step3:
LCM(3, 300) = 300
GCD(3, 300) = ( 3 x 300 ) / 300
= 3 / 300
= 3
So, Greatest Common Divisor of 513, 423, 696, 300 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 423, 696, 300
The greatest common divisor of numbers 513, 423, 696, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 423, 696, 300 is 3.
1. What is the GCD of 513, 423, 696, 300?
GCD of given numbers 513, 423, 696, 300 is 3
2. How to calculate the greatest common divisor of 513, 423, 696, 300?
We can find the highest common divisor of 513, 423, 696, 300 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, 423, 696, 300 i.e 3.
3. How can I use the GCD of 513, 423, 696, 300Calculator?
Out the numbers 513, 423, 696, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.