Online GCD Calculator is useful to find the GCD of 460, 231, 997, 820 quickly. Get the easiest ways to solve the greatest common divisor of 460, 231, 997, 820 i.e 1 in different methods as follows.
Given Input numbers are 460, 231, 997, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (460, 231, 997, 820) = 1.
Given numbers are 460, 231, 997, 820
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 231 are 3 x 7 x 11
Prime factors of 997 are 997
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 231, 997, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 231) = 106260
GCD(460, 231) = ( 460 x 231 ) / 106260
= 460 / 231
= 460
Step2:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 460, 231, 997, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 231, 997, 820
The greatest common divisor of numbers 460, 231, 997, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 231, 997, 820 is 1.
1. What is the GCD of 460, 231, 997, 820?
GCD of given numbers 460, 231, 997, 820 is 1
2. How to calculate the greatest common divisor of 460, 231, 997, 820?
We can find the highest common divisor of 460, 231, 997, 820 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 460, 231, 997, 820 i.e 1.
3. How can I use the GCD of 460, 231, 997, 820Calculator?
Out the numbers 460, 231, 997, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.