Online GCD Calculator is useful to find the GCD of 468, 318, 416, 354 quickly. Get the easiest ways to solve the greatest common divisor of 468, 318, 416, 354 i.e 2 in different methods as follows.
Given Input numbers are 468, 318, 416, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
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
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (468, 318, 416, 354) = 2.
Given numbers are 468, 318, 416, 354
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 318 are 2 x 3 x 53
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 468, 318, 416, 354 is 2.
Given numbers are 468, 318, 416, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 318) = 24804
GCD(468, 318) = ( 468 x 318 ) / 24804
= 468 / 318
= 468
Step2:
LCM(6, 416) = 1248
GCD(6, 416) = ( 6 x 416 ) / 1248
= 6 / 416
= 6
Step3:
LCM(2, 354) = 354
GCD(2, 354) = ( 2 x 354 ) / 354
= 2 / 354
= 2
So, Greatest Common Divisor of 468, 318, 416, 354 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 318, 416, 354
The greatest common divisor of numbers 468, 318, 416, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 318, 416, 354 is 2.
1. What is the GCD of 468, 318, 416, 354?
GCD of given numbers 468, 318, 416, 354 is 2
2. How to calculate the greatest common divisor of 468, 318, 416, 354?
We can find the highest common divisor of 468, 318, 416, 354 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 468, 318, 416, 354 i.e 2.
3. How can I use the GCD of 468, 318, 416, 354Calculator?
Out the numbers 468, 318, 416, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.