Online GCD Calculator is useful to find the GCD of 998, 103, 348, 675 quickly. Get the easiest ways to solve the greatest common divisor of 998, 103, 348, 675 i.e 1 in different methods as follows.
Given Input numbers are 998, 103, 348, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (998, 103, 348, 675) = 1.
Given numbers are 998, 103, 348, 675
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 103 are 103
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 103, 348, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 103) = 102794
GCD(998, 103) = ( 998 x 103 ) / 102794
= 998 / 103
= 998
Step2:
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
= 1 / 348
= 1
Step3:
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
= 1 / 675
= 1
So, Greatest Common Divisor of 998, 103, 348, 675 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 103, 348, 675
The greatest common divisor of numbers 998, 103, 348, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 103, 348, 675 is 1.
1. What is the GCD of 998, 103, 348, 675?
GCD of given numbers 998, 103, 348, 675 is 1
2. How to calculate the greatest common divisor of 998, 103, 348, 675?
We can find the highest common divisor of 998, 103, 348, 675 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 998, 103, 348, 675 i.e 1.
3. How can I use the GCD of 998, 103, 348, 675Calculator?
Out the numbers 998, 103, 348, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.