Online GCD Calculator is useful to find the GCD of 904, 748, 364 quickly. Get the easiest ways to solve the greatest common divisor of 904, 748, 364 i.e 4 in different methods as follows.
Given Input numbers are 904, 748, 364
In the factoring method, we have to find the divisors of all numbers
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (904, 748, 364) = 4.
Given numbers are 904, 748, 364
The list of prime factors of all numbers are
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 364 are 2 x 2 x 7 x 13
The highest common occurrence is 22
Therefore, GCD of 904, 748, 364 is 4.
Given numbers are 904, 748, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(904, 748) = 169048
GCD(904, 748) = ( 904 x 748 ) / 169048
= 904 / 748
= 904
Step2:
LCM(4, 364) = 364
GCD(4, 364) = ( 4 x 364 ) / 364
= 4 / 364
= 4
So, Greatest Common Divisor of 904, 748, 364 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 904, 748, 364
The greatest common divisor of numbers 904, 748, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 748, 364 is 4.
1. What is the GCD of 904, 748, 364?
GCD of given numbers 904, 748, 364 is 4
2. How to calculate the greatest common divisor of 904, 748, 364?
We can find the highest common divisor of 904, 748, 364 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 904, 748, 364 i.e 4.
3. How can I use the GCD of 904, 748, 364Calculator?
Out the numbers 904, 748, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.