Online GCD Calculator is useful to find the GCD of 998, 523, 484, 238 quickly. Get the easiest ways to solve the greatest common divisor of 998, 523, 484, 238 i.e 1 in different methods as follows.
Given Input numbers are 998, 523, 484, 238
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 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (998, 523, 484, 238) = 1.
Given numbers are 998, 523, 484, 238
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 523 are 523
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 238 are 2 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 523, 484, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 523) = 521954
GCD(998, 523) = ( 998 x 523 ) / 521954
= 998 / 523
= 998
Step2:
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
= 1 / 484
= 1
Step3:
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
= 1 / 238
= 1
So, Greatest Common Divisor of 998, 523, 484, 238 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 523, 484, 238
The greatest common divisor of numbers 998, 523, 484, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 523, 484, 238 is 1.
1. What is the GCD of 998, 523, 484, 238?
GCD of given numbers 998, 523, 484, 238 is 1
2. How to calculate the greatest common divisor of 998, 523, 484, 238?
We can find the highest common divisor of 998, 523, 484, 238 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, 523, 484, 238 i.e 1.
3. How can I use the GCD of 998, 523, 484, 238Calculator?
Out the numbers 998, 523, 484, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.