Online GCD Calculator is useful to find the GCD of 504, 750, 556, 852 quickly. Get the easiest ways to solve the greatest common divisor of 504, 750, 556, 852 i.e 2 in different methods as follows.
Given Input numbers are 504, 750, 556, 852
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 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 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
GCD of numbers is the greatest common divisor
So, the GCD (504, 750, 556, 852) = 2.
Given numbers are 504, 750, 556, 852
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 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 556 are 2 x 2 x 139
Prime factors of 852 are 2 x 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 504, 750, 556, 852 is 2.
Given numbers are 504, 750, 556, 852
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 750) = 63000
GCD(504, 750) = ( 504 x 750 ) / 63000
= 504 / 750
= 504
Step2:
LCM(6, 556) = 1668
GCD(6, 556) = ( 6 x 556 ) / 1668
= 6 / 556
= 6
Step3:
LCM(2, 852) = 852
GCD(2, 852) = ( 2 x 852 ) / 852
= 2 / 852
= 2
So, Greatest Common Divisor of 504, 750, 556, 852 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 750, 556, 852
The greatest common divisor of numbers 504, 750, 556, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 750, 556, 852 is 2.
1. What is the GCD of 504, 750, 556, 852?
GCD of given numbers 504, 750, 556, 852 is 2
2. How to calculate the greatest common divisor of 504, 750, 556, 852?
We can find the highest common divisor of 504, 750, 556, 852 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, 750, 556, 852 i.e 2.
3. How can I use the GCD of 504, 750, 556, 852Calculator?
Out the numbers 504, 750, 556, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.