Online GCD Calculator is useful to find the GCD of 506, 108, 362 quickly. Get the easiest ways to solve the greatest common divisor of 506, 108, 362 i.e 2 in different methods as follows.
Given Input numbers are 506, 108, 362
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (506, 108, 362) = 2.
Given numbers are 506, 108, 362
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 362 are 2 x 181
The highest common occurrence is 21
Therefore, GCD of 506, 108, 362 is 2.
Given numbers are 506, 108, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 108) = 27324
GCD(506, 108) = ( 506 x 108 ) / 27324
= 506 / 108
= 506
Step2:
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
= 2 / 362
= 2
So, Greatest Common Divisor of 506, 108, 362 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 108, 362
The greatest common divisor of numbers 506, 108, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 108, 362 is 2.
1. What is the GCD of 506, 108, 362?
GCD of given numbers 506, 108, 362 is 2
2. How to calculate the greatest common divisor of 506, 108, 362?
We can find the highest common divisor of 506, 108, 362 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 506, 108, 362 i.e 2.
3. How can I use the GCD of 506, 108, 362Calculator?
Out the numbers 506, 108, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.