Online GCD Calculator is useful to find the GCD of 816, 177, 320, 821 quickly. Get the easiest ways to solve the greatest common divisor of 816, 177, 320, 821 i.e 1 in different methods as follows.
Given Input numbers are 816, 177, 320, 821
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
GCD of numbers is the greatest common divisor
So, the GCD (816, 177, 320, 821) = 1.
Given numbers are 816, 177, 320, 821
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 177 are 3 x 59
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 821 are 821
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 816, 177, 320, 821
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 177) = 48144
GCD(816, 177) = ( 816 x 177 ) / 48144
= 816 / 177
= 816
Step2:
LCM(3, 320) = 960
GCD(3, 320) = ( 3 x 320 ) / 960
= 3 / 320
= 3
Step3:
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
= 1 / 821
= 1
So, Greatest Common Divisor of 816, 177, 320, 821 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 177, 320, 821
The greatest common divisor of numbers 816, 177, 320, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 177, 320, 821 is 1.
1. What is the GCD of 816, 177, 320, 821?
GCD of given numbers 816, 177, 320, 821 is 1
2. How to calculate the greatest common divisor of 816, 177, 320, 821?
We can find the highest common divisor of 816, 177, 320, 821 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 816, 177, 320, 821 i.e 1.
3. How can I use the GCD of 816, 177, 320, 821Calculator?
Out the numbers 816, 177, 320, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.