Online GCD Calculator is useful to find the GCD of 726, 387, 621, 510 quickly. Get the easiest ways to solve the greatest common divisor of 726, 387, 621, 510 i.e 3 in different methods as follows.
Given Input numbers are 726, 387, 621, 510
In the factoring method, we have to find the divisors of all numbers
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
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 (726, 387, 621, 510) = 3.
Given numbers are 726, 387, 621, 510
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 387 are 3 x 3 x 43
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 510 are 2 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 726, 387, 621, 510 is 3.
Given numbers are 726, 387, 621, 510
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 387) = 93654
GCD(726, 387) = ( 726 x 387 ) / 93654
= 726 / 387
= 726
Step2:
LCM(3, 621) = 621
GCD(3, 621) = ( 3 x 621 ) / 621
= 3 / 621
= 3
Step3:
LCM(3, 510) = 510
GCD(3, 510) = ( 3 x 510 ) / 510
= 3 / 510
= 3
So, Greatest Common Divisor of 726, 387, 621, 510 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 387, 621, 510
The greatest common divisor of numbers 726, 387, 621, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 387, 621, 510 is 3.
1. What is the GCD of 726, 387, 621, 510?
GCD of given numbers 726, 387, 621, 510 is 3
2. How to calculate the greatest common divisor of 726, 387, 621, 510?
We can find the highest common divisor of 726, 387, 621, 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 726, 387, 621, 510 i.e 3.
3. How can I use the GCD of 726, 387, 621, 510Calculator?
Out the numbers 726, 387, 621, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.