Online GCD Calculator is useful to find the GCD of 536, 808, 748, 822 quickly. Get the easiest ways to solve the greatest common divisor of 536, 808, 748, 822 i.e 2 in different methods as follows.
Given Input numbers are 536, 808, 748, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (536, 808, 748, 822) = 2.
Given numbers are 536, 808, 748, 822
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 536, 808, 748, 822 is 2.
Given numbers are 536, 808, 748, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 808) = 54136
GCD(536, 808) = ( 536 x 808 ) / 54136
= 536 / 808
= 536
Step2:
LCM(8, 748) = 1496
GCD(8, 748) = ( 8 x 748 ) / 1496
= 8 / 748
= 8
Step3:
LCM(4, 822) = 1644
GCD(4, 822) = ( 4 x 822 ) / 1644
= 4 / 822
= 4
So, Greatest Common Divisor of 536, 808, 748, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 808, 748, 822
The greatest common divisor of numbers 536, 808, 748, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 808, 748, 822 is 2.
1. What is the GCD of 536, 808, 748, 822?
GCD of given numbers 536, 808, 748, 822 is 2
2. How to calculate the greatest common divisor of 536, 808, 748, 822?
We can find the highest common divisor of 536, 808, 748, 822 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 536, 808, 748, 822 i.e 2.
3. How can I use the GCD of 536, 808, 748, 822Calculator?
Out the numbers 536, 808, 748, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.