Online GCD Calculator is useful to find the GCD of 398, 904, 490, 710 quickly. Get the easiest ways to solve the greatest common divisor of 398, 904, 490, 710 i.e 2 in different methods as follows.
Given Input numbers are 398, 904, 490, 710
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 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
GCD of numbers is the greatest common divisor
So, the GCD (398, 904, 490, 710) = 2.
Given numbers are 398, 904, 490, 710
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 710 are 2 x 5 x 71
The highest common occurrence is 21
Therefore, GCD of 398, 904, 490, 710 is 2.
Given numbers are 398, 904, 490, 710
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 904) = 179896
GCD(398, 904) = ( 398 x 904 ) / 179896
= 398 / 904
= 398
Step2:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
Step3:
LCM(2, 710) = 710
GCD(2, 710) = ( 2 x 710 ) / 710
= 2 / 710
= 2
So, Greatest Common Divisor of 398, 904, 490, 710 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 904, 490, 710
The greatest common divisor of numbers 398, 904, 490, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 904, 490, 710 is 2.
1. What is the GCD of 398, 904, 490, 710?
GCD of given numbers 398, 904, 490, 710 is 2
2. How to calculate the greatest common divisor of 398, 904, 490, 710?
We can find the highest common divisor of 398, 904, 490, 710 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, 904, 490, 710 i.e 2.
3. How can I use the GCD of 398, 904, 490, 710Calculator?
Out the numbers 398, 904, 490, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.