Online GCD Calculator is useful to find the GCD of 320, 752, 448 quickly. Get the easiest ways to solve the greatest common divisor of 320, 752, 448 i.e 16 in different methods as follows.
Given Input numbers are 320, 752, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
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
GCD of numbers is the greatest common divisor
So, the GCD (320, 752, 448) = 16.
Given numbers are 320, 752, 448
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 24
Therefore, GCD of 320, 752, 448 is 16.
Given numbers are 320, 752, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 752) = 15040
GCD(320, 752) = ( 320 x 752 ) / 15040
= 320 / 752
= 320
Step2:
LCM(16, 448) = 448
GCD(16, 448) = ( 16 x 448 ) / 448
= 16 / 448
= 16
So, Greatest Common Divisor of 320, 752, 448 is 16
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 752, 448
The greatest common divisor of numbers 320, 752, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 752, 448 is 16.
1. What is the GCD of 320, 752, 448?
GCD of given numbers 320, 752, 448 is 16
2. How to calculate the greatest common divisor of 320, 752, 448?
We can find the highest common divisor of 320, 752, 448 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 320, 752, 448 i.e 16.
3. How can I use the GCD of 320, 752, 448Calculator?
Out the numbers 320, 752, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.