Online GCD Calculator is useful to find the GCD of 506, 756, 396, 626 quickly. Get the easiest ways to solve the greatest common divisor of 506, 756, 396, 626 i.e 2 in different methods as follows.
Given Input numbers are 506, 756, 396, 626
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
GCD of numbers is the greatest common divisor
So, the GCD (506, 756, 396, 626) = 2.
Given numbers are 506, 756, 396, 626
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 626 are 2 x 313
The highest common occurrence is 21
Therefore, GCD of 506, 756, 396, 626 is 2.
Given numbers are 506, 756, 396, 626
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 756) = 191268
GCD(506, 756) = ( 506 x 756 ) / 191268
= 506 / 756
= 506
Step2:
LCM(2, 396) = 396
GCD(2, 396) = ( 2 x 396 ) / 396
= 2 / 396
= 2
Step3:
LCM(2, 626) = 626
GCD(2, 626) = ( 2 x 626 ) / 626
= 2 / 626
= 2
So, Greatest Common Divisor of 506, 756, 396, 626 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 756, 396, 626
The greatest common divisor of numbers 506, 756, 396, 626 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 756, 396, 626 is 2.
1. What is the GCD of 506, 756, 396, 626?
GCD of given numbers 506, 756, 396, 626 is 2
2. How to calculate the greatest common divisor of 506, 756, 396, 626?
We can find the highest common divisor of 506, 756, 396, 626 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 506, 756, 396, 626 i.e 2.
3. How can I use the GCD of 506, 756, 396, 626Calculator?
Out the numbers 506, 756, 396, 626 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.