Online GCD Calculator is useful to find the GCD of 504, 396, 732, 956 quickly. Get the easiest ways to solve the greatest common divisor of 504, 396, 732, 956 i.e 4 in different methods as follows.
Given Input numbers are 504, 396, 732, 956
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
GCD of numbers is the greatest common divisor
So, the GCD (504, 396, 732, 956) = 4.
Given numbers are 504, 396, 732, 956
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 956 are 2 x 2 x 239
The highest common occurrence is 22
Therefore, GCD of 504, 396, 732, 956 is 4.
Given numbers are 504, 396, 732, 956
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 396) = 5544
GCD(504, 396) = ( 504 x 396 ) / 5544
= 504 / 396
= 504
Step2:
LCM(36, 732) = 2196
GCD(36, 732) = ( 36 x 732 ) / 2196
= 36 / 732
= 36
Step3:
LCM(12, 956) = 2868
GCD(12, 956) = ( 12 x 956 ) / 2868
= 12 / 956
= 12
So, Greatest Common Divisor of 504, 396, 732, 956 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 396, 732, 956
The greatest common divisor of numbers 504, 396, 732, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 396, 732, 956 is 4.
1. What is the GCD of 504, 396, 732, 956?
GCD of given numbers 504, 396, 732, 956 is 4
2. How to calculate the greatest common divisor of 504, 396, 732, 956?
We can find the highest common divisor of 504, 396, 732, 956 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 504, 396, 732, 956 i.e 4.
3. How can I use the GCD of 504, 396, 732, 956Calculator?
Out the numbers 504, 396, 732, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.