Online GCD Calculator is useful to find the GCD of 820, 731, 825, 327 quickly. Get the easiest ways to solve the greatest common divisor of 820, 731, 825, 327 i.e 1 in different methods as follows.
Given Input numbers are 820, 731, 825, 327
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
GCD of numbers is the greatest common divisor
So, the GCD (820, 731, 825, 327) = 1.
Given numbers are 820, 731, 825, 327
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 731 are 17 x 43
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 327 are 3 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 731, 825, 327
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 731) = 599420
GCD(820, 731) = ( 820 x 731 ) / 599420
= 820 / 731
= 820
Step2:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
Step3:
LCM(1, 327) = 327
GCD(1, 327) = ( 1 x 327 ) / 327
= 1 / 327
= 1
So, Greatest Common Divisor of 820, 731, 825, 327 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 731, 825, 327
The greatest common divisor of numbers 820, 731, 825, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 731, 825, 327 is 1.
1. What is the GCD of 820, 731, 825, 327?
GCD of given numbers 820, 731, 825, 327 is 1
2. How to calculate the greatest common divisor of 820, 731, 825, 327?
We can find the highest common divisor of 820, 731, 825, 327 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 820, 731, 825, 327 i.e 1.
3. How can I use the GCD of 820, 731, 825, 327Calculator?
Out the numbers 820, 731, 825, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.