Online GCD Calculator is useful to find the GCD of 888, 582, 798, 726 quickly. Get the easiest ways to solve the greatest common divisor of 888, 582, 798, 726 i.e 6 in different methods as follows.
Given Input numbers are 888, 582, 798, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
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 (888, 582, 798, 726) = 6.
Given numbers are 888, 582, 798, 726
The list of prime factors of all numbers are
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 582 are 2 x 3 x 97
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 888, 582, 798, 726 is 6.
Given numbers are 888, 582, 798, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(888, 582) = 86136
GCD(888, 582) = ( 888 x 582 ) / 86136
= 888 / 582
= 888
Step2:
LCM(6, 798) = 798
GCD(6, 798) = ( 6 x 798 ) / 798
= 6 / 798
= 6
Step3:
LCM(6, 726) = 726
GCD(6, 726) = ( 6 x 726 ) / 726
= 6 / 726
= 6
So, Greatest Common Divisor of 888, 582, 798, 726 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 888, 582, 798, 726
The greatest common divisor of numbers 888, 582, 798, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 582, 798, 726 is 6.
1. What is the GCD of 888, 582, 798, 726?
GCD of given numbers 888, 582, 798, 726 is 6
2. How to calculate the greatest common divisor of 888, 582, 798, 726?
We can find the highest common divisor of 888, 582, 798, 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 888, 582, 798, 726 i.e 6.
3. How can I use the GCD of 888, 582, 798, 726Calculator?
Out the numbers 888, 582, 798, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.