Online GCD Calculator is useful to find the GCD of 321, 687, 896, 796 quickly. Get the easiest ways to solve the greatest common divisor of 321, 687, 896, 796 i.e 1 in different methods as follows.
Given Input numbers are 321, 687, 896, 796
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
GCD of numbers is the greatest common divisor
So, the GCD (321, 687, 896, 796) = 1.
Given numbers are 321, 687, 896, 796
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 687 are 3 x 229
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 796 are 2 x 2 x 199
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 321, 687, 896, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 687) = 73509
GCD(321, 687) = ( 321 x 687 ) / 73509
= 321 / 687
= 321
Step2:
LCM(3, 896) = 2688
GCD(3, 896) = ( 3 x 896 ) / 2688
= 3 / 896
= 3
Step3:
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
= 1 / 796
= 1
So, Greatest Common Divisor of 321, 687, 896, 796 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 321, 687, 896, 796
The greatest common divisor of numbers 321, 687, 896, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 687, 896, 796 is 1.
1. What is the GCD of 321, 687, 896, 796?
GCD of given numbers 321, 687, 896, 796 is 1
2. How to calculate the greatest common divisor of 321, 687, 896, 796?
We can find the highest common divisor of 321, 687, 896, 796 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 321, 687, 896, 796 i.e 1.
3. How can I use the GCD of 321, 687, 896, 796Calculator?
Out the numbers 321, 687, 896, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.