Online GCD Calculator is useful to find the GCD of 442, 590, 654, 721 quickly. Get the easiest ways to solve the greatest common divisor of 442, 590, 654, 721 i.e 1 in different methods as follows.
Given Input numbers are 442, 590, 654, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
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 (442, 590, 654, 721) = 1.
Given numbers are 442, 590, 654, 721
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 590 are 2 x 5 x 59
Prime factors of 654 are 2 x 3 x 109
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 442, 590, 654, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 590) = 130390
GCD(442, 590) = ( 442 x 590 ) / 130390
= 442 / 590
= 442
Step2:
LCM(2, 654) = 654
GCD(2, 654) = ( 2 x 654 ) / 654
= 2 / 654
= 2
Step3:
LCM(2, 721) = 1442
GCD(2, 721) = ( 2 x 721 ) / 1442
= 2 / 721
= 2
So, Greatest Common Divisor of 442, 590, 654, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 590, 654, 721
The greatest common divisor of numbers 442, 590, 654, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 590, 654, 721 is 1.
1. What is the GCD of 442, 590, 654, 721?
GCD of given numbers 442, 590, 654, 721 is 1
2. How to calculate the greatest common divisor of 442, 590, 654, 721?
We can find the highest common divisor of 442, 590, 654, 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 442, 590, 654, 721 i.e 1.
3. How can I use the GCD of 442, 590, 654, 721Calculator?
Out the numbers 442, 590, 654, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.