Online GCD Calculator is useful to find the GCD of 748, 449, 481, 498 quickly. Get the easiest ways to solve the greatest common divisor of 748, 449, 481, 498 i.e 1 in different methods as follows.
Given Input numbers are 748, 449, 481, 498
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 449 :
The positive integer divisors of 449 that completely divides 449 are.
1, 449
Divisors of 481 :
The positive integer divisors of 481 that completely divides 481 are.
1, 13, 37, 481
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
GCD of numbers is the greatest common divisor
So, the GCD (748, 449, 481, 498) = 1.
Given numbers are 748, 449, 481, 498
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 449 are 449
Prime factors of 481 are 13 x 37
Prime factors of 498 are 2 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 449, 481, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 449) = 335852
GCD(748, 449) = ( 748 x 449 ) / 335852
= 748 / 449
= 748
Step2:
LCM(1, 481) = 481
GCD(1, 481) = ( 1 x 481 ) / 481
= 1 / 481
= 1
Step3:
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
= 1 / 498
= 1
So, Greatest Common Divisor of 748, 449, 481, 498 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 449, 481, 498
The greatest common divisor of numbers 748, 449, 481, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 449, 481, 498 is 1.
1. What is the GCD of 748, 449, 481, 498?
GCD of given numbers 748, 449, 481, 498 is 1
2. How to calculate the greatest common divisor of 748, 449, 481, 498?
We can find the highest common divisor of 748, 449, 481, 498 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 748, 449, 481, 498 i.e 1.
3. How can I use the GCD of 748, 449, 481, 498Calculator?
Out the numbers 748, 449, 481, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.