Online GCD Calculator is useful to find the GCD of 823, 689, 289, 160 quickly. Get the easiest ways to solve the greatest common divisor of 823, 689, 289, 160 i.e 1 in different methods as follows.
Given Input numbers are 823, 689, 289, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (823, 689, 289, 160) = 1.
Given numbers are 823, 689, 289, 160
The list of prime factors of all numbers are
Prime factors of 823 are 823
Prime factors of 689 are 13 x 53
Prime factors of 289 are 17 x 17
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 823, 689, 289, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(823, 689) = 567047
GCD(823, 689) = ( 823 x 689 ) / 567047
= 823 / 689
= 823
Step2:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
Step3:
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
= 1 / 160
= 1
So, Greatest Common Divisor of 823, 689, 289, 160 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 823, 689, 289, 160
The greatest common divisor of numbers 823, 689, 289, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 689, 289, 160 is 1.
1. What is the GCD of 823, 689, 289, 160?
GCD of given numbers 823, 689, 289, 160 is 1
2. How to calculate the greatest common divisor of 823, 689, 289, 160?
We can find the highest common divisor of 823, 689, 289, 160 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 823, 689, 289, 160 i.e 1.
3. How can I use the GCD of 823, 689, 289, 160Calculator?
Out the numbers 823, 689, 289, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.