Online GCD Calculator is useful to find the GCD of 441, 154, 729, 353 quickly. Get the easiest ways to solve the greatest common divisor of 441, 154, 729, 353 i.e 1 in different methods as follows.
Given Input numbers are 441, 154, 729, 353
In the factoring method, we have to find the divisors of all numbers
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
GCD of numbers is the greatest common divisor
So, the GCD (441, 154, 729, 353) = 1.
Given numbers are 441, 154, 729, 353
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 154 are 2 x 7 x 11
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 353 are 353
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 441, 154, 729, 353
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 154) = 9702
GCD(441, 154) = ( 441 x 154 ) / 9702
= 441 / 154
= 441
Step2:
LCM(7, 729) = 5103
GCD(7, 729) = ( 7 x 729 ) / 5103
= 7 / 729
= 7
Step3:
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
= 1 / 353
= 1
So, Greatest Common Divisor of 441, 154, 729, 353 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 441, 154, 729, 353
The greatest common divisor of numbers 441, 154, 729, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 154, 729, 353 is 1.
1. What is the GCD of 441, 154, 729, 353?
GCD of given numbers 441, 154, 729, 353 is 1
2. How to calculate the greatest common divisor of 441, 154, 729, 353?
We can find the highest common divisor of 441, 154, 729, 353 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 441, 154, 729, 353 i.e 1.
3. How can I use the GCD of 441, 154, 729, 353Calculator?
Out the numbers 441, 154, 729, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.