Online GCD Calculator is useful to find the GCD of 494, 442, 975, 721 quickly. Get the easiest ways to solve the greatest common divisor of 494, 442, 975, 721 i.e 1 in different methods as follows.
Given Input numbers are 494, 442, 975, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
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 (494, 442, 975, 721) = 1.
Given numbers are 494, 442, 975, 721
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 442 are 2 x 13 x 17
Prime factors of 975 are 3 x 5 x 5 x 13
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 494, 442, 975, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 442) = 8398
GCD(494, 442) = ( 494 x 442 ) / 8398
= 494 / 442
= 494
Step2:
LCM(26, 975) = 1950
GCD(26, 975) = ( 26 x 975 ) / 1950
= 26 / 975
= 26
Step3:
LCM(13, 721) = 9373
GCD(13, 721) = ( 13 x 721 ) / 9373
= 13 / 721
= 13
So, Greatest Common Divisor of 494, 442, 975, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 442, 975, 721
The greatest common divisor of numbers 494, 442, 975, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 442, 975, 721 is 1.
1. What is the GCD of 494, 442, 975, 721?
GCD of given numbers 494, 442, 975, 721 is 1
2. How to calculate the greatest common divisor of 494, 442, 975, 721?
We can find the highest common divisor of 494, 442, 975, 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 494, 442, 975, 721 i.e 1.
3. How can I use the GCD of 494, 442, 975, 721Calculator?
Out the numbers 494, 442, 975, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.