Online GCD Calculator is useful to find the GCD of 398, 534, 404, 168 quickly. Get the easiest ways to solve the greatest common divisor of 398, 534, 404, 168 i.e 2 in different methods as follows.
Given Input numbers are 398, 534, 404, 168
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 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (398, 534, 404, 168) = 2.
Given numbers are 398, 534, 404, 168
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 534 are 2 x 3 x 89
Prime factors of 404 are 2 x 2 x 101
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 398, 534, 404, 168 is 2.
Given numbers are 398, 534, 404, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 534) = 106266
GCD(398, 534) = ( 398 x 534 ) / 106266
= 398 / 534
= 398
Step2:
LCM(2, 404) = 404
GCD(2, 404) = ( 2 x 404 ) / 404
= 2 / 404
= 2
Step3:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
So, Greatest Common Divisor of 398, 534, 404, 168 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 534, 404, 168
The greatest common divisor of numbers 398, 534, 404, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 534, 404, 168 is 2.
1. What is the GCD of 398, 534, 404, 168?
GCD of given numbers 398, 534, 404, 168 is 2
2. How to calculate the greatest common divisor of 398, 534, 404, 168?
We can find the highest common divisor of 398, 534, 404, 168 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, 534, 404, 168 i.e 2.
3. How can I use the GCD of 398, 534, 404, 168Calculator?
Out the numbers 398, 534, 404, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.