Online GCD Calculator is useful to find the GCD of 398, 540, 363, 548 quickly. Get the easiest ways to solve the greatest common divisor of 398, 540, 363, 548 i.e 1 in different methods as follows.
Given Input numbers are 398, 540, 363, 548
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 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (398, 540, 363, 548) = 1.
Given numbers are 398, 540, 363, 548
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 363 are 3 x 11 x 11
Prime factors of 548 are 2 x 2 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 540, 363, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 540) = 107460
GCD(398, 540) = ( 398 x 540 ) / 107460
= 398 / 540
= 398
Step2:
LCM(2, 363) = 726
GCD(2, 363) = ( 2 x 363 ) / 726
= 2 / 363
= 2
Step3:
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
= 1 / 548
= 1
So, Greatest Common Divisor of 398, 540, 363, 548 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 540, 363, 548
The greatest common divisor of numbers 398, 540, 363, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 540, 363, 548 is 1.
1. What is the GCD of 398, 540, 363, 548?
GCD of given numbers 398, 540, 363, 548 is 1
2. How to calculate the greatest common divisor of 398, 540, 363, 548?
We can find the highest common divisor of 398, 540, 363, 548 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, 540, 363, 548 i.e 1.
3. How can I use the GCD of 398, 540, 363, 548Calculator?
Out the numbers 398, 540, 363, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.