Online GCD Calculator is useful to find the GCD of 264, 432, 398, 316 quickly. Get the easiest ways to solve the greatest common divisor of 264, 432, 398, 316 i.e 2 in different methods as follows.
Given Input numbers are 264, 432, 398, 316
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
GCD of numbers is the greatest common divisor
So, the GCD (264, 432, 398, 316) = 2.
Given numbers are 264, 432, 398, 316
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 398 are 2 x 199
Prime factors of 316 are 2 x 2 x 79
The highest common occurrence is 21
Therefore, GCD of 264, 432, 398, 316 is 2.
Given numbers are 264, 432, 398, 316
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 432) = 4752
GCD(264, 432) = ( 264 x 432 ) / 4752
= 264 / 432
= 264
Step2:
LCM(24, 398) = 4776
GCD(24, 398) = ( 24 x 398 ) / 4776
= 24 / 398
= 24
Step3:
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
= 2 / 316
= 2
So, Greatest Common Divisor of 264, 432, 398, 316 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 264, 432, 398, 316
The greatest common divisor of numbers 264, 432, 398, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 432, 398, 316 is 2.
1. What is the GCD of 264, 432, 398, 316?
GCD of given numbers 264, 432, 398, 316 is 2
2. How to calculate the greatest common divisor of 264, 432, 398, 316?
We can find the highest common divisor of 264, 432, 398, 316 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 264, 432, 398, 316 i.e 2.
3. How can I use the GCD of 264, 432, 398, 316Calculator?
Out the numbers 264, 432, 398, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.