Online GCD Calculator is useful to find the GCD of 822, 638, 508 quickly. Get the easiest ways to solve the greatest common divisor of 822, 638, 508 i.e 2 in different methods as follows.
Given Input numbers are 822, 638, 508
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 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (822, 638, 508) = 2.
Given numbers are 822, 638, 508
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 638 are 2 x 11 x 29
Prime factors of 508 are 2 x 2 x 127
The highest common occurrence is 21
Therefore, GCD of 822, 638, 508 is 2.
Given numbers are 822, 638, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 638) = 262218
GCD(822, 638) = ( 822 x 638 ) / 262218
= 822 / 638
= 822
Step2:
LCM(2, 508) = 508
GCD(2, 508) = ( 2 x 508 ) / 508
= 2 / 508
= 2
So, Greatest Common Divisor of 822, 638, 508 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 638, 508
The greatest common divisor of numbers 822, 638, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 638, 508 is 2.
1. What is the GCD of 822, 638, 508?
GCD of given numbers 822, 638, 508 is 2
2. How to calculate the greatest common divisor of 822, 638, 508?
We can find the highest common divisor of 822, 638, 508 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, 638, 508 i.e 2.
3. How can I use the GCD of 822, 638, 508Calculator?
Out the numbers 822, 638, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.