Online GCD Calculator is useful to find the GCD of 764, 852, 722, 904 quickly. Get the easiest ways to solve the greatest common divisor of 764, 852, 722, 904 i.e 2 in different methods as follows.
Given Input numbers are 764, 852, 722, 904
In the factoring method, we have to find the divisors of all numbers
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
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
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (764, 852, 722, 904) = 2.
Given numbers are 764, 852, 722, 904
The list of prime factors of all numbers are
Prime factors of 764 are 2 x 2 x 191
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 722 are 2 x 19 x 19
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 764, 852, 722, 904 is 2.
Given numbers are 764, 852, 722, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(764, 852) = 162732
GCD(764, 852) = ( 764 x 852 ) / 162732
= 764 / 852
= 764
Step2:
LCM(4, 722) = 1444
GCD(4, 722) = ( 4 x 722 ) / 1444
= 4 / 722
= 4
Step3:
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
= 2 / 904
= 2
So, Greatest Common Divisor of 764, 852, 722, 904 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 764, 852, 722, 904
The greatest common divisor of numbers 764, 852, 722, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 852, 722, 904 is 2.
1. What is the GCD of 764, 852, 722, 904?
GCD of given numbers 764, 852, 722, 904 is 2
2. How to calculate the greatest common divisor of 764, 852, 722, 904?
We can find the highest common divisor of 764, 852, 722, 904 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 764, 852, 722, 904 i.e 2.
3. How can I use the GCD of 764, 852, 722, 904Calculator?
Out the numbers 764, 852, 722, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.