Online GCD Calculator is useful to find the GCD of 494, 718, 764, 324 quickly. Get the easiest ways to solve the greatest common divisor of 494, 718, 764, 324 i.e 2 in different methods as follows.
Given Input numbers are 494, 718, 764, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (494, 718, 764, 324) = 2.
Given numbers are 494, 718, 764, 324
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 718 are 2 x 359
Prime factors of 764 are 2 x 2 x 191
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 494, 718, 764, 324 is 2.
Given numbers are 494, 718, 764, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 718) = 177346
GCD(494, 718) = ( 494 x 718 ) / 177346
= 494 / 718
= 494
Step2:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
Step3:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
So, Greatest Common Divisor of 494, 718, 764, 324 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 718, 764, 324
The greatest common divisor of numbers 494, 718, 764, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 718, 764, 324 is 2.
1. What is the GCD of 494, 718, 764, 324?
GCD of given numbers 494, 718, 764, 324 is 2
2. How to calculate the greatest common divisor of 494, 718, 764, 324?
We can find the highest common divisor of 494, 718, 764, 324 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 494, 718, 764, 324 i.e 2.
3. How can I use the GCD of 494, 718, 764, 324Calculator?
Out the numbers 494, 718, 764, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.