Online GCD Calculator is useful to find the GCD of 808, 216, 526, 724 quickly. Get the easiest ways to solve the greatest common divisor of 808, 216, 526, 724 i.e 2 in different methods as follows.
Given Input numbers are 808, 216, 526, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 526 :
The positive integer divisors of 526 that completely divides 526 are.
1, 2, 263, 526
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 (808, 216, 526, 724) = 2.
Given numbers are 808, 216, 526, 724
The list of prime factors of all numbers are
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 526 are 2 x 263
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 21
Therefore, GCD of 808, 216, 526, 724 is 2.
Given numbers are 808, 216, 526, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(808, 216) = 21816
GCD(808, 216) = ( 808 x 216 ) / 21816
= 808 / 216
= 808
Step2:
LCM(8, 526) = 2104
GCD(8, 526) = ( 8 x 526 ) / 2104
= 8 / 526
= 8
Step3:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
So, Greatest Common Divisor of 808, 216, 526, 724 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 808, 216, 526, 724
The greatest common divisor of numbers 808, 216, 526, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 216, 526, 724 is 2.
1. What is the GCD of 808, 216, 526, 724?
GCD of given numbers 808, 216, 526, 724 is 2
2. How to calculate the greatest common divisor of 808, 216, 526, 724?
We can find the highest common divisor of 808, 216, 526, 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 808, 216, 526, 724 i.e 2.
3. How can I use the GCD of 808, 216, 526, 724Calculator?
Out the numbers 808, 216, 526, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.