Online GCD Calculator is useful to find the GCD of 726, 489, 994 quickly. Get the easiest ways to solve the greatest common divisor of 726, 489, 994 i.e 1 in different methods as follows.
Given Input numbers are 726, 489, 994
In the factoring method, we have to find the divisors of all numbers
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
GCD of numbers is the greatest common divisor
So, the GCD (726, 489, 994) = 1.
Given numbers are 726, 489, 994
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 489 are 3 x 163
Prime factors of 994 are 2 x 7 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 726, 489, 994
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 489) = 118338
GCD(726, 489) = ( 726 x 489 ) / 118338
= 726 / 489
= 726
Step2:
LCM(3, 994) = 2982
GCD(3, 994) = ( 3 x 994 ) / 2982
= 3 / 994
= 3
So, Greatest Common Divisor of 726, 489, 994 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 489, 994
The greatest common divisor of numbers 726, 489, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 489, 994 is 1.
1. What is the GCD of 726, 489, 994?
GCD of given numbers 726, 489, 994 is 1
2. How to calculate the greatest common divisor of 726, 489, 994?
We can find the highest common divisor of 726, 489, 994 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 726, 489, 994 i.e 1.
3. How can I use the GCD of 726, 489, 994Calculator?
Out the numbers 726, 489, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.