Online GCD Calculator is useful to find the GCD of 398, 542, 311, 302 quickly. Get the easiest ways to solve the greatest common divisor of 398, 542, 311, 302 i.e 1 in different methods as follows.
Given Input numbers are 398, 542, 311, 302
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 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (398, 542, 311, 302) = 1.
Given numbers are 398, 542, 311, 302
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 542 are 2 x 271
Prime factors of 311 are 311
Prime factors of 302 are 2 x 151
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 542, 311, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 542) = 107858
GCD(398, 542) = ( 398 x 542 ) / 107858
= 398 / 542
= 398
Step2:
LCM(2, 311) = 622
GCD(2, 311) = ( 2 x 311 ) / 622
= 2 / 311
= 2
Step3:
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
= 1 / 302
= 1
So, Greatest Common Divisor of 398, 542, 311, 302 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 542, 311, 302
The greatest common divisor of numbers 398, 542, 311, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 542, 311, 302 is 1.
1. What is the GCD of 398, 542, 311, 302?
GCD of given numbers 398, 542, 311, 302 is 1
2. How to calculate the greatest common divisor of 398, 542, 311, 302?
We can find the highest common divisor of 398, 542, 311, 302 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, 542, 311, 302 i.e 1.
3. How can I use the GCD of 398, 542, 311, 302Calculator?
Out the numbers 398, 542, 311, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.