Online GCD Calculator is useful to find the GCD of 712, 299, 446, 998 quickly. Get the easiest ways to solve the greatest common divisor of 712, 299, 446, 998 i.e 1 in different methods as follows.
Given Input numbers are 712, 299, 446, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
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 (712, 299, 446, 998) = 1.
Given numbers are 712, 299, 446, 998
The list of prime factors of all numbers are
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 299 are 13 x 23
Prime factors of 446 are 2 x 223
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 712, 299, 446, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(712, 299) = 212888
GCD(712, 299) = ( 712 x 299 ) / 212888
= 712 / 299
= 712
Step2:
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
= 1 / 446
= 1
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 712, 299, 446, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 712, 299, 446, 998
The greatest common divisor of numbers 712, 299, 446, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 299, 446, 998 is 1.
1. What is the GCD of 712, 299, 446, 998?
GCD of given numbers 712, 299, 446, 998 is 1
2. How to calculate the greatest common divisor of 712, 299, 446, 998?
We can find the highest common divisor of 712, 299, 446, 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 712, 299, 446, 998 i.e 1.
3. How can I use the GCD of 712, 299, 446, 998Calculator?
Out the numbers 712, 299, 446, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.