Online GCD Calculator is useful to find the GCD of 726, 136, 582, 492 quickly. Get the easiest ways to solve the greatest common divisor of 726, 136, 582, 492 i.e 2 in different methods as follows.
Given Input numbers are 726, 136, 582, 492
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 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (726, 136, 582, 492) = 2.
Given numbers are 726, 136, 582, 492
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 582 are 2 x 3 x 97
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 726, 136, 582, 492 is 2.
Given numbers are 726, 136, 582, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 136) = 49368
GCD(726, 136) = ( 726 x 136 ) / 49368
= 726 / 136
= 726
Step2:
LCM(2, 582) = 582
GCD(2, 582) = ( 2 x 582 ) / 582
= 2 / 582
= 2
Step3:
LCM(2, 492) = 492
GCD(2, 492) = ( 2 x 492 ) / 492
= 2 / 492
= 2
So, Greatest Common Divisor of 726, 136, 582, 492 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 136, 582, 492
The greatest common divisor of numbers 726, 136, 582, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 136, 582, 492 is 2.
1. What is the GCD of 726, 136, 582, 492?
GCD of given numbers 726, 136, 582, 492 is 2
2. How to calculate the greatest common divisor of 726, 136, 582, 492?
We can find the highest common divisor of 726, 136, 582, 492 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, 136, 582, 492 i.e 2.
3. How can I use the GCD of 726, 136, 582, 492Calculator?
Out the numbers 726, 136, 582, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.