Online GCD Calculator is useful to find the GCD of 738, 858, 819, 510 quickly. Get the easiest ways to solve the greatest common divisor of 738, 858, 819, 510 i.e 3 in different methods as follows.
Given Input numbers are 738, 858, 819, 510
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 819 :
The positive integer divisors of 819 that completely divides 819 are.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
GCD of numbers is the greatest common divisor
So, the GCD (738, 858, 819, 510) = 3.
Given numbers are 738, 858, 819, 510
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 819 are 3 x 3 x 7 x 13
Prime factors of 510 are 2 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 738, 858, 819, 510 is 3.
Given numbers are 738, 858, 819, 510
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 858) = 105534
GCD(738, 858) = ( 738 x 858 ) / 105534
= 738 / 858
= 738
Step2:
LCM(6, 819) = 1638
GCD(6, 819) = ( 6 x 819 ) / 1638
= 6 / 819
= 6
Step3:
LCM(3, 510) = 510
GCD(3, 510) = ( 3 x 510 ) / 510
= 3 / 510
= 3
So, Greatest Common Divisor of 738, 858, 819, 510 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 858, 819, 510
The greatest common divisor of numbers 738, 858, 819, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 858, 819, 510 is 3.
1. What is the GCD of 738, 858, 819, 510?
GCD of given numbers 738, 858, 819, 510 is 3
2. How to calculate the greatest common divisor of 738, 858, 819, 510?
We can find the highest common divisor of 738, 858, 819, 510 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 738, 858, 819, 510 i.e 3.
3. How can I use the GCD of 738, 858, 819, 510Calculator?
Out the numbers 738, 858, 819, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.