Online GCD Calculator is useful to find the GCD of 896, 427, 323, 382 quickly. Get the easiest ways to solve the greatest common divisor of 896, 427, 323, 382 i.e 1 in different methods as follows.
Given Input numbers are 896, 427, 323, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (896, 427, 323, 382) = 1.
Given numbers are 896, 427, 323, 382
The list of prime factors of all numbers are
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 427 are 7 x 61
Prime factors of 323 are 17 x 19
Prime factors of 382 are 2 x 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 896, 427, 323, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(896, 427) = 54656
GCD(896, 427) = ( 896 x 427 ) / 54656
= 896 / 427
= 896
Step2:
LCM(7, 323) = 2261
GCD(7, 323) = ( 7 x 323 ) / 2261
= 7 / 323
= 7
Step3:
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
= 1 / 382
= 1
So, Greatest Common Divisor of 896, 427, 323, 382 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 896, 427, 323, 382
The greatest common divisor of numbers 896, 427, 323, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 427, 323, 382 is 1.
1. What is the GCD of 896, 427, 323, 382?
GCD of given numbers 896, 427, 323, 382 is 1
2. How to calculate the greatest common divisor of 896, 427, 323, 382?
We can find the highest common divisor of 896, 427, 323, 382 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 896, 427, 323, 382 i.e 1.
3. How can I use the GCD of 896, 427, 323, 382Calculator?
Out the numbers 896, 427, 323, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.