Online GCD Calculator is useful to find the GCD of 824, 184, 418, 160 quickly. Get the easiest ways to solve the greatest common divisor of 824, 184, 418, 160 i.e 2 in different methods as follows.
Given Input numbers are 824, 184, 418, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
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 (824, 184, 418, 160) = 2.
Given numbers are 824, 184, 418, 160
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 418 are 2 x 11 x 19
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 824, 184, 418, 160 is 2.
Given numbers are 824, 184, 418, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 184) = 18952
GCD(824, 184) = ( 824 x 184 ) / 18952
= 824 / 184
= 824
Step2:
LCM(8, 418) = 1672
GCD(8, 418) = ( 8 x 418 ) / 1672
= 8 / 418
= 8
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 824, 184, 418, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 184, 418, 160
The greatest common divisor of numbers 824, 184, 418, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 184, 418, 160 is 2.
1. What is the GCD of 824, 184, 418, 160?
GCD of given numbers 824, 184, 418, 160 is 2
2. How to calculate the greatest common divisor of 824, 184, 418, 160?
We can find the highest common divisor of 824, 184, 418, 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 824, 184, 418, 160 i.e 2.
3. How can I use the GCD of 824, 184, 418, 160Calculator?
Out the numbers 824, 184, 418, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.