Online GCD Calculator is useful to find the GCD of 822, 798, 530, 752 quickly. Get the easiest ways to solve the greatest common divisor of 822, 798, 530, 752 i.e 2 in different methods as follows.
Given Input numbers are 822, 798, 530, 752
In the factoring method, we have to find the divisors of all numbers
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
GCD of numbers is the greatest common divisor
So, the GCD (822, 798, 530, 752) = 2.
Given numbers are 822, 798, 530, 752
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 530 are 2 x 5 x 53
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
The highest common occurrence is 21
Therefore, GCD of 822, 798, 530, 752 is 2.
Given numbers are 822, 798, 530, 752
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 798) = 109326
GCD(822, 798) = ( 822 x 798 ) / 109326
= 822 / 798
= 822
Step2:
LCM(6, 530) = 1590
GCD(6, 530) = ( 6 x 530 ) / 1590
= 6 / 530
= 6
Step3:
LCM(2, 752) = 752
GCD(2, 752) = ( 2 x 752 ) / 752
= 2 / 752
= 2
So, Greatest Common Divisor of 822, 798, 530, 752 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 798, 530, 752
The greatest common divisor of numbers 822, 798, 530, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 798, 530, 752 is 2.
1. What is the GCD of 822, 798, 530, 752?
GCD of given numbers 822, 798, 530, 752 is 2
2. How to calculate the greatest common divisor of 822, 798, 530, 752?
We can find the highest common divisor of 822, 798, 530, 752 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 822, 798, 530, 752 i.e 2.
3. How can I use the GCD of 822, 798, 530, 752Calculator?
Out the numbers 822, 798, 530, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.