Online GCD Calculator is useful to find the GCD of 896, 731, 325, 686 quickly. Get the easiest ways to solve the greatest common divisor of 896, 731, 325, 686 i.e 1 in different methods as follows.
Given Input numbers are 896, 731, 325, 686
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 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 325 :
The positive integer divisors of 325 that completely divides 325 are.
1, 5, 13, 25, 65, 325
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (896, 731, 325, 686) = 1.
Given numbers are 896, 731, 325, 686
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 731 are 17 x 43
Prime factors of 325 are 5 x 5 x 13
Prime factors of 686 are 2 x 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 896, 731, 325, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(896, 731) = 654976
GCD(896, 731) = ( 896 x 731 ) / 654976
= 896 / 731
= 896
Step2:
LCM(1, 325) = 325
GCD(1, 325) = ( 1 x 325 ) / 325
= 1 / 325
= 1
Step3:
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
= 1 / 686
= 1
So, Greatest Common Divisor of 896, 731, 325, 686 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 896, 731, 325, 686
The greatest common divisor of numbers 896, 731, 325, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 731, 325, 686 is 1.
1. What is the GCD of 896, 731, 325, 686?
GCD of given numbers 896, 731, 325, 686 is 1
2. How to calculate the greatest common divisor of 896, 731, 325, 686?
We can find the highest common divisor of 896, 731, 325, 686 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, 731, 325, 686 i.e 1.
3. How can I use the GCD of 896, 731, 325, 686Calculator?
Out the numbers 896, 731, 325, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.