Online GCD Calculator is useful to find the GCD of 997, 337, 442, 213 quickly. Get the easiest ways to solve the greatest common divisor of 997, 337, 442, 213 i.e 1 in different methods as follows.
Given Input numbers are 997, 337, 442, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
Divisors of 337 :
The positive integer divisors of 337 that completely divides 337 are.
1, 337
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (997, 337, 442, 213) = 1.
Given numbers are 997, 337, 442, 213
The list of prime factors of all numbers are
Prime factors of 997 are 997
Prime factors of 337 are 337
Prime factors of 442 are 2 x 13 x 17
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 997, 337, 442, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(997, 337) = 335989
GCD(997, 337) = ( 997 x 337 ) / 335989
= 997 / 337
= 997
Step2:
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
= 1 / 442
= 1
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 997, 337, 442, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 997, 337, 442, 213
The greatest common divisor of numbers 997, 337, 442, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 997, 337, 442, 213 is 1.
1. What is the GCD of 997, 337, 442, 213?
GCD of given numbers 997, 337, 442, 213 is 1
2. How to calculate the greatest common divisor of 997, 337, 442, 213?
We can find the highest common divisor of 997, 337, 442, 213 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 997, 337, 442, 213 i.e 1.
3. How can I use the GCD of 997, 337, 442, 213Calculator?
Out the numbers 997, 337, 442, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.