Online GCD Calculator is useful to find the GCD of 814, 284, 864, 724 quickly. Get the easiest ways to solve the greatest common divisor of 814, 284, 864, 724 i.e 2 in different methods as follows.
Given Input numbers are 814, 284, 864, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (814, 284, 864, 724) = 2.
Given numbers are 814, 284, 864, 724
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 284 are 2 x 2 x 71
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 21
Therefore, GCD of 814, 284, 864, 724 is 2.
Given numbers are 814, 284, 864, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 284) = 115588
GCD(814, 284) = ( 814 x 284 ) / 115588
= 814 / 284
= 814
Step2:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
Step3:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
So, Greatest Common Divisor of 814, 284, 864, 724 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 284, 864, 724
The greatest common divisor of numbers 814, 284, 864, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 284, 864, 724 is 2.
1. What is the GCD of 814, 284, 864, 724?
GCD of given numbers 814, 284, 864, 724 is 2
2. How to calculate the greatest common divisor of 814, 284, 864, 724?
We can find the highest common divisor of 814, 284, 864, 724 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 814, 284, 864, 724 i.e 2.
3. How can I use the GCD of 814, 284, 864, 724Calculator?
Out the numbers 814, 284, 864, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.