Online GCD Calculator is useful to find the GCD of 987, 999, 998, 823 quickly. Get the easiest ways to solve the greatest common divisor of 987, 999, 998, 823 i.e 1 in different methods as follows.
Given Input numbers are 987, 999, 998, 823
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
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
GCD of numbers is the greatest common divisor
So, the GCD (987, 999, 998, 823) = 1.
Given numbers are 987, 999, 998, 823
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 998 are 2 x 499
Prime factors of 823 are 823
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 999, 998, 823
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 999) = 328671
GCD(987, 999) = ( 987 x 999 ) / 328671
= 987 / 999
= 987
Step2:
LCM(3, 998) = 2994
GCD(3, 998) = ( 3 x 998 ) / 2994
= 3 / 998
= 3
Step3:
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
= 1 / 823
= 1
So, Greatest Common Divisor of 987, 999, 998, 823 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 999, 998, 823
The greatest common divisor of numbers 987, 999, 998, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 999, 998, 823 is 1.
1. What is the GCD of 987, 999, 998, 823?
GCD of given numbers 987, 999, 998, 823 is 1
2. How to calculate the greatest common divisor of 987, 999, 998, 823?
We can find the highest common divisor of 987, 999, 998, 823 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 987, 999, 998, 823 i.e 1.
3. How can I use the GCD of 987, 999, 998, 823Calculator?
Out the numbers 987, 999, 998, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.