Online GCD Calculator is useful to find the GCD of 898, 464, 698, 398 quickly. Get the easiest ways to solve the greatest common divisor of 898, 464, 698, 398 i.e 2 in different methods as follows.
Given Input numbers are 898, 464, 698, 398
In the factoring method, we have to find the divisors of all numbers
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (898, 464, 698, 398) = 2.
Given numbers are 898, 464, 698, 398
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 698 are 2 x 349
Prime factors of 398 are 2 x 199
The highest common occurrence is 21
Therefore, GCD of 898, 464, 698, 398 is 2.
Given numbers are 898, 464, 698, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 464) = 208336
GCD(898, 464) = ( 898 x 464 ) / 208336
= 898 / 464
= 898
Step2:
LCM(2, 698) = 698
GCD(2, 698) = ( 2 x 698 ) / 698
= 2 / 698
= 2
Step3:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
So, Greatest Common Divisor of 898, 464, 698, 398 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 898, 464, 698, 398
The greatest common divisor of numbers 898, 464, 698, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 464, 698, 398 is 2.
1. What is the GCD of 898, 464, 698, 398?
GCD of given numbers 898, 464, 698, 398 is 2
2. How to calculate the greatest common divisor of 898, 464, 698, 398?
We can find the highest common divisor of 898, 464, 698, 398 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 898, 464, 698, 398 i.e 2.
3. How can I use the GCD of 898, 464, 698, 398Calculator?
Out the numbers 898, 464, 698, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.