Online GCD Calculator is useful to find the GCD of 384, 820, 162, 262 quickly. Get the easiest ways to solve the greatest common divisor of 384, 820, 162, 262 i.e 2 in different methods as follows.
Given Input numbers are 384, 820, 162, 262
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
GCD of numbers is the greatest common divisor
So, the GCD (384, 820, 162, 262) = 2.
Given numbers are 384, 820, 162, 262
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 262 are 2 x 131
The highest common occurrence is 21
Therefore, GCD of 384, 820, 162, 262 is 2.
Given numbers are 384, 820, 162, 262
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 820) = 78720
GCD(384, 820) = ( 384 x 820 ) / 78720
= 384 / 820
= 384
Step2:
LCM(4, 162) = 324
GCD(4, 162) = ( 4 x 162 ) / 324
= 4 / 162
= 4
Step3:
LCM(2, 262) = 262
GCD(2, 262) = ( 2 x 262 ) / 262
= 2 / 262
= 2
So, Greatest Common Divisor of 384, 820, 162, 262 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 820, 162, 262
The greatest common divisor of numbers 384, 820, 162, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 820, 162, 262 is 2.
1. What is the GCD of 384, 820, 162, 262?
GCD of given numbers 384, 820, 162, 262 is 2
2. How to calculate the greatest common divisor of 384, 820, 162, 262?
We can find the highest common divisor of 384, 820, 162, 262 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 384, 820, 162, 262 i.e 2.
3. How can I use the GCD of 384, 820, 162, 262Calculator?
Out the numbers 384, 820, 162, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.