Online GCD Calculator is useful to find the GCD of 574, 938, 764, 388 quickly. Get the easiest ways to solve the greatest common divisor of 574, 938, 764, 388 i.e 2 in different methods as follows.
Given Input numbers are 574, 938, 764, 388
In the factoring method, we have to find the divisors of all numbers
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
GCD of numbers is the greatest common divisor
So, the GCD (574, 938, 764, 388) = 2.
Given numbers are 574, 938, 764, 388
The list of prime factors of all numbers are
Prime factors of 574 are 2 x 7 x 41
Prime factors of 938 are 2 x 7 x 67
Prime factors of 764 are 2 x 2 x 191
Prime factors of 388 are 2 x 2 x 97
The highest common occurrence is 21
Therefore, GCD of 574, 938, 764, 388 is 2.
Given numbers are 574, 938, 764, 388
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(574, 938) = 38458
GCD(574, 938) = ( 574 x 938 ) / 38458
= 574 / 938
= 574
Step2:
LCM(14, 764) = 5348
GCD(14, 764) = ( 14 x 764 ) / 5348
= 14 / 764
= 14
Step3:
LCM(2, 388) = 388
GCD(2, 388) = ( 2 x 388 ) / 388
= 2 / 388
= 2
So, Greatest Common Divisor of 574, 938, 764, 388 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 574, 938, 764, 388
The greatest common divisor of numbers 574, 938, 764, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 938, 764, 388 is 2.
1. What is the GCD of 574, 938, 764, 388?
GCD of given numbers 574, 938, 764, 388 is 2
2. How to calculate the greatest common divisor of 574, 938, 764, 388?
We can find the highest common divisor of 574, 938, 764, 388 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 574, 938, 764, 388 i.e 2.
3. How can I use the GCD of 574, 938, 764, 388Calculator?
Out the numbers 574, 938, 764, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.