Online GCD Calculator is useful to find the GCD of 726, 315, 981, 897 quickly. Get the easiest ways to solve the greatest common divisor of 726, 315, 981, 897 i.e 3 in different methods as follows.
Given Input numbers are 726, 315, 981, 897
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 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
GCD of numbers is the greatest common divisor
So, the GCD (726, 315, 981, 897) = 3.
Given numbers are 726, 315, 981, 897
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 981 are 3 x 3 x 109
Prime factors of 897 are 3 x 13 x 23
The highest common occurrence is 31
Therefore, GCD of 726, 315, 981, 897 is 3.
Given numbers are 726, 315, 981, 897
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 315) = 76230
GCD(726, 315) = ( 726 x 315 ) / 76230
= 726 / 315
= 726
Step2:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
Step3:
LCM(3, 897) = 897
GCD(3, 897) = ( 3 x 897 ) / 897
= 3 / 897
= 3
So, Greatest Common Divisor of 726, 315, 981, 897 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 315, 981, 897
The greatest common divisor of numbers 726, 315, 981, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 315, 981, 897 is 3.
1. What is the GCD of 726, 315, 981, 897?
GCD of given numbers 726, 315, 981, 897 is 3
2. How to calculate the greatest common divisor of 726, 315, 981, 897?
We can find the highest common divisor of 726, 315, 981, 897 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, 315, 981, 897 i.e 3.
3. How can I use the GCD of 726, 315, 981, 897Calculator?
Out the numbers 726, 315, 981, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.