Online GCD Calculator is useful to find the GCD of 827, 758, 320, 162 quickly. Get the easiest ways to solve the greatest common divisor of 827, 758, 320, 162 i.e 1 in different methods as follows.
Given Input numbers are 827, 758, 320, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 827 :
The positive integer divisors of 827 that completely divides 827 are.
1, 827
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
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 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (827, 758, 320, 162) = 1.
Given numbers are 827, 758, 320, 162
The list of prime factors of all numbers are
Prime factors of 827 are 827
Prime factors of 758 are 2 x 379
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 827, 758, 320, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(827, 758) = 626866
GCD(827, 758) = ( 827 x 758 ) / 626866
= 827 / 758
= 827
Step2:
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
= 1 / 320
= 1
Step3:
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
= 1 / 162
= 1
So, Greatest Common Divisor of 827, 758, 320, 162 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 827, 758, 320, 162
The greatest common divisor of numbers 827, 758, 320, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 758, 320, 162 is 1.
1. What is the GCD of 827, 758, 320, 162?
GCD of given numbers 827, 758, 320, 162 is 1
2. How to calculate the greatest common divisor of 827, 758, 320, 162?
We can find the highest common divisor of 827, 758, 320, 162 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 827, 758, 320, 162 i.e 1.
3. How can I use the GCD of 827, 758, 320, 162Calculator?
Out the numbers 827, 758, 320, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.