Online GCD Calculator is useful to find the GCD of 324, 340, 664, 416 quickly. Get the easiest ways to solve the greatest common divisor of 324, 340, 664, 416 i.e 4 in different methods as follows.
Given Input numbers are 324, 340, 664, 416
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
GCD of numbers is the greatest common divisor
So, the GCD (324, 340, 664, 416) = 4.
Given numbers are 324, 340, 664, 416
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
The highest common occurrence is 22
Therefore, GCD of 324, 340, 664, 416 is 4.
Given numbers are 324, 340, 664, 416
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 340) = 27540
GCD(324, 340) = ( 324 x 340 ) / 27540
= 324 / 340
= 324
Step2:
LCM(4, 664) = 664
GCD(4, 664) = ( 4 x 664 ) / 664
= 4 / 664
= 4
Step3:
LCM(4, 416) = 416
GCD(4, 416) = ( 4 x 416 ) / 416
= 4 / 416
= 4
So, Greatest Common Divisor of 324, 340, 664, 416 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 340, 664, 416
The greatest common divisor of numbers 324, 340, 664, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 340, 664, 416 is 4.
1. What is the GCD of 324, 340, 664, 416?
GCD of given numbers 324, 340, 664, 416 is 4
2. How to calculate the greatest common divisor of 324, 340, 664, 416?
We can find the highest common divisor of 324, 340, 664, 416 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 324, 340, 664, 416 i.e 4.
3. How can I use the GCD of 324, 340, 664, 416Calculator?
Out the numbers 324, 340, 664, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.