Online GCD Calculator is useful to find the GCD of 291, 399, 384, 162 quickly. Get the easiest ways to solve the greatest common divisor of 291, 399, 384, 162 i.e 3 in different methods as follows.
Given Input numbers are 291, 399, 384, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
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 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 (291, 399, 384, 162) = 3.
Given numbers are 291, 399, 384, 162
The list of prime factors of all numbers are
Prime factors of 291 are 3 x 97
Prime factors of 399 are 3 x 7 x 19
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 291, 399, 384, 162 is 3.
Given numbers are 291, 399, 384, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(291, 399) = 38703
GCD(291, 399) = ( 291 x 399 ) / 38703
= 291 / 399
= 291
Step2:
LCM(3, 384) = 384
GCD(3, 384) = ( 3 x 384 ) / 384
= 3 / 384
= 3
Step3:
LCM(3, 162) = 162
GCD(3, 162) = ( 3 x 162 ) / 162
= 3 / 162
= 3
So, Greatest Common Divisor of 291, 399, 384, 162 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 291, 399, 384, 162
The greatest common divisor of numbers 291, 399, 384, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 399, 384, 162 is 3.
1. What is the GCD of 291, 399, 384, 162?
GCD of given numbers 291, 399, 384, 162 is 3
2. How to calculate the greatest common divisor of 291, 399, 384, 162?
We can find the highest common divisor of 291, 399, 384, 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 291, 399, 384, 162 i.e 3.
3. How can I use the GCD of 291, 399, 384, 162Calculator?
Out the numbers 291, 399, 384, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.