Online GCD Calculator is useful to find the GCD of 498, 481, 723, 987 quickly. Get the easiest ways to solve the greatest common divisor of 498, 481, 723, 987 i.e 1 in different methods as follows.
Given Input numbers are 498, 481, 723, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 481 :
The positive integer divisors of 481 that completely divides 481 are.
1, 13, 37, 481
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (498, 481, 723, 987) = 1.
Given numbers are 498, 481, 723, 987
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 481 are 13 x 37
Prime factors of 723 are 3 x 241
Prime factors of 987 are 3 x 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 481, 723, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 481) = 239538
GCD(498, 481) = ( 498 x 481 ) / 239538
= 498 / 481
= 498
Step2:
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
= 1 / 723
= 1
Step3:
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
= 1 / 987
= 1
So, Greatest Common Divisor of 498, 481, 723, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 481, 723, 987
The greatest common divisor of numbers 498, 481, 723, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 481, 723, 987 is 1.
1. What is the GCD of 498, 481, 723, 987?
GCD of given numbers 498, 481, 723, 987 is 1
2. How to calculate the greatest common divisor of 498, 481, 723, 987?
We can find the highest common divisor of 498, 481, 723, 987 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 498, 481, 723, 987 i.e 1.
3. How can I use the GCD of 498, 481, 723, 987Calculator?
Out the numbers 498, 481, 723, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.