Online GCD Calculator is useful to find the GCD of 824, 394, 752, 496 quickly. Get the easiest ways to solve the greatest common divisor of 824, 394, 752, 496 i.e 2 in different methods as follows.
Given Input numbers are 824, 394, 752, 496
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
GCD of numbers is the greatest common divisor
So, the GCD (824, 394, 752, 496) = 2.
Given numbers are 824, 394, 752, 496
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 394 are 2 x 197
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 824, 394, 752, 496 is 2.
Given numbers are 824, 394, 752, 496
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 394) = 162328
GCD(824, 394) = ( 824 x 394 ) / 162328
= 824 / 394
= 824
Step2:
LCM(2, 752) = 752
GCD(2, 752) = ( 2 x 752 ) / 752
= 2 / 752
= 2
Step3:
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
= 2 / 496
= 2
So, Greatest Common Divisor of 824, 394, 752, 496 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 394, 752, 496
The greatest common divisor of numbers 824, 394, 752, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 394, 752, 496 is 2.
1. What is the GCD of 824, 394, 752, 496?
GCD of given numbers 824, 394, 752, 496 is 2
2. How to calculate the greatest common divisor of 824, 394, 752, 496?
We can find the highest common divisor of 824, 394, 752, 496 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 824, 394, 752, 496 i.e 2.
3. How can I use the GCD of 824, 394, 752, 496Calculator?
Out the numbers 824, 394, 752, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.