Online GCD Calculator is useful to find the GCD of 397, 523, 20, 206 quickly. Get the easiest ways to solve the greatest common divisor of 397, 523, 20, 206 i.e 1 in different methods as follows.
Given Input numbers are 397, 523, 20, 206
In the factoring method, we have to find the divisors of all numbers
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
GCD of numbers is the greatest common divisor
So, the GCD (397, 523, 20, 206) = 1.
Given numbers are 397, 523, 20, 206
The list of prime factors of all numbers are
Prime factors of 397 are 397
Prime factors of 523 are 523
Prime factors of 20 are 2 x 2 x 5
Prime factors of 206 are 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 397, 523, 20, 206
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(397, 523) = 207631
GCD(397, 523) = ( 397 x 523 ) / 207631
= 397 / 523
= 397
Step2:
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
= 1 / 20
= 1
Step3:
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
= 1 / 206
= 1
So, Greatest Common Divisor of 397, 523, 20, 206 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 397, 523, 20, 206
The greatest common divisor of numbers 397, 523, 20, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 523, 20, 206 is 1.
1. What is the GCD of 397, 523, 20, 206?
GCD of given numbers 397, 523, 20, 206 is 1
2. How to calculate the greatest common divisor of 397, 523, 20, 206?
We can find the highest common divisor of 397, 523, 20, 206 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 397, 523, 20, 206 i.e 1.
3. How can I use the GCD of 397, 523, 20, 206Calculator?
Out the numbers 397, 523, 20, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.