Online GCD Calculator is useful to find the GCD of 398, 436, 902, 490 quickly. Get the easiest ways to solve the greatest common divisor of 398, 436, 902, 490 i.e 2 in different methods as follows.
Given Input numbers are 398, 436, 902, 490
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 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
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
GCD of numbers is the greatest common divisor
So, the GCD (398, 436, 902, 490) = 2.
Given numbers are 398, 436, 902, 490
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 436 are 2 x 2 x 109
Prime factors of 902 are 2 x 11 x 41
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 398, 436, 902, 490 is 2.
Given numbers are 398, 436, 902, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 436) = 86764
GCD(398, 436) = ( 398 x 436 ) / 86764
= 398 / 436
= 398
Step2:
LCM(2, 902) = 902
GCD(2, 902) = ( 2 x 902 ) / 902
= 2 / 902
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 398, 436, 902, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 436, 902, 490
The greatest common divisor of numbers 398, 436, 902, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 436, 902, 490 is 2.
1. What is the GCD of 398, 436, 902, 490?
GCD of given numbers 398, 436, 902, 490 is 2
2. How to calculate the greatest common divisor of 398, 436, 902, 490?
We can find the highest common divisor of 398, 436, 902, 490 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, 436, 902, 490 i.e 2.
3. How can I use the GCD of 398, 436, 902, 490Calculator?
Out the numbers 398, 436, 902, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.