Online GCD Calculator is useful to find the GCD of 998, 468, 726 quickly. Get the easiest ways to solve the greatest common divisor of 998, 468, 726 i.e 2 in different methods as follows.
Given Input numbers are 998, 468, 726
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 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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
GCD of numbers is the greatest common divisor
So, the GCD (998, 468, 726) = 2.
Given numbers are 998, 468, 726
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 998, 468, 726 is 2.
Given numbers are 998, 468, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 468) = 233532
GCD(998, 468) = ( 998 x 468 ) / 233532
= 998 / 468
= 998
Step2:
LCM(2, 726) = 726
GCD(2, 726) = ( 2 x 726 ) / 726
= 2 / 726
= 2
So, Greatest Common Divisor of 998, 468, 726 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 468, 726
The greatest common divisor of numbers 998, 468, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 468, 726 is 2.
1. What is the GCD of 998, 468, 726?
GCD of given numbers 998, 468, 726 is 2
2. How to calculate the greatest common divisor of 998, 468, 726?
We can find the highest common divisor of 998, 468, 726 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, 468, 726 i.e 2.
3. How can I use the GCD of 998, 468, 726Calculator?
Out the numbers 998, 468, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.