Online GCD Calculator is useful to find the GCD of 918, 726, 446, 958 quickly. Get the easiest ways to solve the greatest common divisor of 918, 726, 446, 958 i.e 2 in different methods as follows.
Given Input numbers are 918, 726, 446, 958
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
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 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
GCD of numbers is the greatest common divisor
So, the GCD (918, 726, 446, 958) = 2.
Given numbers are 918, 726, 446, 958
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 446 are 2 x 223
Prime factors of 958 are 2 x 479
The highest common occurrence is 21
Therefore, GCD of 918, 726, 446, 958 is 2.
Given numbers are 918, 726, 446, 958
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 726) = 111078
GCD(918, 726) = ( 918 x 726 ) / 111078
= 918 / 726
= 918
Step2:
LCM(6, 446) = 1338
GCD(6, 446) = ( 6 x 446 ) / 1338
= 6 / 446
= 6
Step3:
LCM(2, 958) = 958
GCD(2, 958) = ( 2 x 958 ) / 958
= 2 / 958
= 2
So, Greatest Common Divisor of 918, 726, 446, 958 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 726, 446, 958
The greatest common divisor of numbers 918, 726, 446, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 726, 446, 958 is 2.
1. What is the GCD of 918, 726, 446, 958?
GCD of given numbers 918, 726, 446, 958 is 2
2. How to calculate the greatest common divisor of 918, 726, 446, 958?
We can find the highest common divisor of 918, 726, 446, 958 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 918, 726, 446, 958 i.e 2.
3. How can I use the GCD of 918, 726, 446, 958Calculator?
Out the numbers 918, 726, 446, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.