Online GCD Calculator is useful to find the GCD of 998, 823, 425, 312 quickly. Get the easiest ways to solve the greatest common divisor of 998, 823, 425, 312 i.e 1 in different methods as follows.
Given Input numbers are 998, 823, 425, 312
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 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 425 :
The positive integer divisors of 425 that completely divides 425 are.
1, 5, 17, 25, 85, 425
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (998, 823, 425, 312) = 1.
Given numbers are 998, 823, 425, 312
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 823 are 823
Prime factors of 425 are 5 x 5 x 17
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 823, 425, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 823) = 821354
GCD(998, 823) = ( 998 x 823 ) / 821354
= 998 / 823
= 998
Step2:
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
= 1 / 425
= 1
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 998, 823, 425, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 823, 425, 312
The greatest common divisor of numbers 998, 823, 425, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 823, 425, 312 is 1.
1. What is the GCD of 998, 823, 425, 312?
GCD of given numbers 998, 823, 425, 312 is 1
2. How to calculate the greatest common divisor of 998, 823, 425, 312?
We can find the highest common divisor of 998, 823, 425, 312 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, 823, 425, 312 i.e 1.
3. How can I use the GCD of 998, 823, 425, 312Calculator?
Out the numbers 998, 823, 425, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.