Online GCD Calculator is useful to find the GCD of 326, 288, 448, 628 quickly. Get the easiest ways to solve the greatest common divisor of 326, 288, 448, 628 i.e 2 in different methods as follows.
Given Input numbers are 326, 288, 448, 628
In the factoring method, we have to find the divisors of all numbers
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (326, 288, 448, 628) = 2.
Given numbers are 326, 288, 448, 628
The list of prime factors of all numbers are
Prime factors of 326 are 2 x 163
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 21
Therefore, GCD of 326, 288, 448, 628 is 2.
Given numbers are 326, 288, 448, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(326, 288) = 46944
GCD(326, 288) = ( 326 x 288 ) / 46944
= 326 / 288
= 326
Step2:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
Step3:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
So, Greatest Common Divisor of 326, 288, 448, 628 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 326, 288, 448, 628
The greatest common divisor of numbers 326, 288, 448, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 288, 448, 628 is 2.
1. What is the GCD of 326, 288, 448, 628?
GCD of given numbers 326, 288, 448, 628 is 2
2. How to calculate the greatest common divisor of 326, 288, 448, 628?
We can find the highest common divisor of 326, 288, 448, 628 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 326, 288, 448, 628 i.e 2.
3. How can I use the GCD of 326, 288, 448, 628Calculator?
Out the numbers 326, 288, 448, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.