Online GCD Calculator is useful to find the GCD of 441, 289, 814, 721 quickly. Get the easiest ways to solve the greatest common divisor of 441, 289, 814, 721 i.e 1 in different methods as follows.
Given Input numbers are 441, 289, 814, 721
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 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (441, 289, 814, 721) = 1.
Given numbers are 441, 289, 814, 721
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 289 are 17 x 17
Prime factors of 814 are 2 x 11 x 37
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 441, 289, 814, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 289) = 127449
GCD(441, 289) = ( 441 x 289 ) / 127449
= 441 / 289
= 441
Step2:
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
= 1 / 814
= 1
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 441, 289, 814, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 441, 289, 814, 721
The greatest common divisor of numbers 441, 289, 814, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 289, 814, 721 is 1.
1. What is the GCD of 441, 289, 814, 721?
GCD of given numbers 441, 289, 814, 721 is 1
2. How to calculate the greatest common divisor of 441, 289, 814, 721?
We can find the highest common divisor of 441, 289, 814, 721 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, 289, 814, 721 i.e 1.
3. How can I use the GCD of 441, 289, 814, 721Calculator?
Out the numbers 441, 289, 814, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.