Online GCD Calculator is useful to find the GCD of 165, 132, 824, 493 quickly. Get the easiest ways to solve the greatest common divisor of 165, 132, 824, 493 i.e 1 in different methods as follows.
Given Input numbers are 165, 132, 824, 493
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (165, 132, 824, 493) = 1.
Given numbers are 165, 132, 824, 493
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 493 are 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 165, 132, 824, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 132) = 660
GCD(165, 132) = ( 165 x 132 ) / 660
= 165 / 132
= 165
Step2:
LCM(33, 824) = 27192
GCD(33, 824) = ( 33 x 824 ) / 27192
= 33 / 824
= 33
Step3:
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
= 1 / 493
= 1
So, Greatest Common Divisor of 165, 132, 824, 493 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 132, 824, 493
The greatest common divisor of numbers 165, 132, 824, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 132, 824, 493 is 1.
1. What is the GCD of 165, 132, 824, 493?
GCD of given numbers 165, 132, 824, 493 is 1
2. How to calculate the greatest common divisor of 165, 132, 824, 493?
We can find the highest common divisor of 165, 132, 824, 493 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 165, 132, 824, 493 i.e 1.
3. How can I use the GCD of 165, 132, 824, 493Calculator?
Out the numbers 165, 132, 824, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.