Online GCD Calculator is useful to find the GCD of 137, 243, 442, 997 quickly. Get the easiest ways to solve the greatest common divisor of 137, 243, 442, 997 i.e 1 in different methods as follows.
Given Input numbers are 137, 243, 442, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (137, 243, 442, 997) = 1.
Given numbers are 137, 243, 442, 997
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 442 are 2 x 13 x 17
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 243, 442, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 243) = 33291
GCD(137, 243) = ( 137 x 243 ) / 33291
= 137 / 243
= 137
Step2:
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
= 1 / 442
= 1
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 137, 243, 442, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 243, 442, 997
The greatest common divisor of numbers 137, 243, 442, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 243, 442, 997 is 1.
1. What is the GCD of 137, 243, 442, 997?
GCD of given numbers 137, 243, 442, 997 is 1
2. How to calculate the greatest common divisor of 137, 243, 442, 997?
We can find the highest common divisor of 137, 243, 442, 997 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 137, 243, 442, 997 i.e 1.
3. How can I use the GCD of 137, 243, 442, 997Calculator?
Out the numbers 137, 243, 442, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.