Online GCD Calculator is useful to find the GCD of 726, 318, 784, 630 quickly. Get the easiest ways to solve the greatest common divisor of 726, 318, 784, 630 i.e 2 in different methods as follows.
Given Input numbers are 726, 318, 784, 630
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 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
GCD of numbers is the greatest common divisor
So, the GCD (726, 318, 784, 630) = 2.
Given numbers are 726, 318, 784, 630
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 318 are 2 x 3 x 53
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 726, 318, 784, 630 is 2.
Given numbers are 726, 318, 784, 630
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 318) = 38478
GCD(726, 318) = ( 726 x 318 ) / 38478
= 726 / 318
= 726
Step2:
LCM(6, 784) = 2352
GCD(6, 784) = ( 6 x 784 ) / 2352
= 6 / 784
= 6
Step3:
LCM(2, 630) = 630
GCD(2, 630) = ( 2 x 630 ) / 630
= 2 / 630
= 2
So, Greatest Common Divisor of 726, 318, 784, 630 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 318, 784, 630
The greatest common divisor of numbers 726, 318, 784, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 318, 784, 630 is 2.
1. What is the GCD of 726, 318, 784, 630?
GCD of given numbers 726, 318, 784, 630 is 2
2. How to calculate the greatest common divisor of 726, 318, 784, 630?
We can find the highest common divisor of 726, 318, 784, 630 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, 318, 784, 630 i.e 2.
3. How can I use the GCD of 726, 318, 784, 630Calculator?
Out the numbers 726, 318, 784, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.