Online GCD Calculator is useful to find the GCD of 574, 390, 748, 380 quickly. Get the easiest ways to solve the greatest common divisor of 574, 390, 748, 380 i.e 2 in different methods as follows.
Given Input numbers are 574, 390, 748, 380
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 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
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 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (574, 390, 748, 380) = 2.
Given numbers are 574, 390, 748, 380
The list of prime factors of all numbers are
Prime factors of 574 are 2 x 7 x 41
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 574, 390, 748, 380 is 2.
Given numbers are 574, 390, 748, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(574, 390) = 111930
GCD(574, 390) = ( 574 x 390 ) / 111930
= 574 / 390
= 574
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
Step3:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
So, Greatest Common Divisor of 574, 390, 748, 380 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 574, 390, 748, 380
The greatest common divisor of numbers 574, 390, 748, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 390, 748, 380 is 2.
1. What is the GCD of 574, 390, 748, 380?
GCD of given numbers 574, 390, 748, 380 is 2
2. How to calculate the greatest common divisor of 574, 390, 748, 380?
We can find the highest common divisor of 574, 390, 748, 380 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, 390, 748, 380 i.e 2.
3. How can I use the GCD of 574, 390, 748, 380Calculator?
Out the numbers 574, 390, 748, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.