Online GCD Calculator is useful to find the GCD of 972, 231, 477, 394 quickly. Get the easiest ways to solve the greatest common divisor of 972, 231, 477, 394 i.e 1 in different methods as follows.
Given Input numbers are 972, 231, 477, 394
In the factoring method, we have to find the divisors of all numbers
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (972, 231, 477, 394) = 1.
Given numbers are 972, 231, 477, 394
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 231 are 3 x 7 x 11
Prime factors of 477 are 3 x 3 x 53
Prime factors of 394 are 2 x 197
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 231, 477, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 231) = 74844
GCD(972, 231) = ( 972 x 231 ) / 74844
= 972 / 231
= 972
Step2:
LCM(3, 477) = 477
GCD(3, 477) = ( 3 x 477 ) / 477
= 3 / 477
= 3
Step3:
LCM(3, 394) = 1182
GCD(3, 394) = ( 3 x 394 ) / 1182
= 3 / 394
= 3
So, Greatest Common Divisor of 972, 231, 477, 394 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 231, 477, 394
The greatest common divisor of numbers 972, 231, 477, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 231, 477, 394 is 1.
1. What is the GCD of 972, 231, 477, 394?
GCD of given numbers 972, 231, 477, 394 is 1
2. How to calculate the greatest common divisor of 972, 231, 477, 394?
We can find the highest common divisor of 972, 231, 477, 394 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 972, 231, 477, 394 i.e 1.
3. How can I use the GCD of 972, 231, 477, 394Calculator?
Out the numbers 972, 231, 477, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.