Online GCD Calculator is useful to find the GCD of 398, 390, 584, 674 quickly. Get the easiest ways to solve the greatest common divisor of 398, 390, 584, 674 i.e 2 in different methods as follows.
Given Input numbers are 398, 390, 584, 674
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
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 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
GCD of numbers is the greatest common divisor
So, the GCD (398, 390, 584, 674) = 2.
Given numbers are 398, 390, 584, 674
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 674 are 2 x 337
The highest common occurrence is 21
Therefore, GCD of 398, 390, 584, 674 is 2.
Given numbers are 398, 390, 584, 674
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 390) = 77610
GCD(398, 390) = ( 398 x 390 ) / 77610
= 398 / 390
= 398
Step2:
LCM(2, 584) = 584
GCD(2, 584) = ( 2 x 584 ) / 584
= 2 / 584
= 2
Step3:
LCM(2, 674) = 674
GCD(2, 674) = ( 2 x 674 ) / 674
= 2 / 674
= 2
So, Greatest Common Divisor of 398, 390, 584, 674 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 390, 584, 674
The greatest common divisor of numbers 398, 390, 584, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 390, 584, 674 is 2.
1. What is the GCD of 398, 390, 584, 674?
GCD of given numbers 398, 390, 584, 674 is 2
2. How to calculate the greatest common divisor of 398, 390, 584, 674?
We can find the highest common divisor of 398, 390, 584, 674 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 398, 390, 584, 674 i.e 2.
3. How can I use the GCD of 398, 390, 584, 674Calculator?
Out the numbers 398, 390, 584, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.