Online GCD Calculator is useful to find the GCD of 723, 242, 442, 998 quickly. Get the easiest ways to solve the greatest common divisor of 723, 242, 442, 998 i.e 1 in different methods as follows.
Given Input numbers are 723, 242, 442, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (723, 242, 442, 998) = 1.
Given numbers are 723, 242, 442, 998
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 242 are 2 x 11 x 11
Prime factors of 442 are 2 x 13 x 17
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 723, 242, 442, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 242) = 174966
GCD(723, 242) = ( 723 x 242 ) / 174966
= 723 / 242
= 723
Step2:
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
= 1 / 442
= 1
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 723, 242, 442, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 242, 442, 998
The greatest common divisor of numbers 723, 242, 442, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 242, 442, 998 is 1.
1. What is the GCD of 723, 242, 442, 998?
GCD of given numbers 723, 242, 442, 998 is 1
2. How to calculate the greatest common divisor of 723, 242, 442, 998?
We can find the highest common divisor of 723, 242, 442, 998 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 723, 242, 442, 998 i.e 1.
3. How can I use the GCD of 723, 242, 442, 998Calculator?
Out the numbers 723, 242, 442, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.