Online GCD Calculator is useful to find the GCD of 496, 482, 750, 822 quickly. Get the easiest ways to solve the greatest common divisor of 496, 482, 750, 822 i.e 2 in different methods as follows.
Given Input numbers are 496, 482, 750, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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 (496, 482, 750, 822) = 2.
Given numbers are 496, 482, 750, 822
The list of prime factors of all numbers are
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 482 are 2 x 241
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 496, 482, 750, 822 is 2.
Given numbers are 496, 482, 750, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 482) = 119536
GCD(496, 482) = ( 496 x 482 ) / 119536
= 496 / 482
= 496
Step2:
LCM(2, 750) = 750
GCD(2, 750) = ( 2 x 750 ) / 750
= 2 / 750
= 2
Step3:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
So, Greatest Common Divisor of 496, 482, 750, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 482, 750, 822
The greatest common divisor of numbers 496, 482, 750, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 482, 750, 822 is 2.
1. What is the GCD of 496, 482, 750, 822?
GCD of given numbers 496, 482, 750, 822 is 2
2. How to calculate the greatest common divisor of 496, 482, 750, 822?
We can find the highest common divisor of 496, 482, 750, 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 496, 482, 750, 822 i.e 2.
3. How can I use the GCD of 496, 482, 750, 822Calculator?
Out the numbers 496, 482, 750, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.