Online GCD Calculator is useful to find the GCD of 726, 164, 432, 355 quickly. Get the easiest ways to solve the greatest common divisor of 726, 164, 432, 355 i.e 1 in different methods as follows.
Given Input numbers are 726, 164, 432, 355
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 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (726, 164, 432, 355) = 1.
Given numbers are 726, 164, 432, 355
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 164 are 2 x 2 x 41
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 726, 164, 432, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 164) = 59532
GCD(726, 164) = ( 726 x 164 ) / 59532
= 726 / 164
= 726
Step2:
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
= 2 / 432
= 2
Step3:
LCM(2, 355) = 710
GCD(2, 355) = ( 2 x 355 ) / 710
= 2 / 355
= 2
So, Greatest Common Divisor of 726, 164, 432, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 164, 432, 355
The greatest common divisor of numbers 726, 164, 432, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 164, 432, 355 is 1.
1. What is the GCD of 726, 164, 432, 355?
GCD of given numbers 726, 164, 432, 355 is 1
2. How to calculate the greatest common divisor of 726, 164, 432, 355?
We can find the highest common divisor of 726, 164, 432, 355 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, 164, 432, 355 i.e 1.
3. How can I use the GCD of 726, 164, 432, 355Calculator?
Out the numbers 726, 164, 432, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.