Online GCD Calculator is useful to find the GCD of 384, 694, 730, 448 quickly. Get the easiest ways to solve the greatest common divisor of 384, 694, 730, 448 i.e 2 in different methods as follows.
Given Input numbers are 384, 694, 730, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
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 (384, 694, 730, 448) = 2.
Given numbers are 384, 694, 730, 448
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 694 are 2 x 347
Prime factors of 730 are 2 x 5 x 73
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 384, 694, 730, 448 is 2.
Given numbers are 384, 694, 730, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 694) = 133248
GCD(384, 694) = ( 384 x 694 ) / 133248
= 384 / 694
= 384
Step2:
LCM(2, 730) = 730
GCD(2, 730) = ( 2 x 730 ) / 730
= 2 / 730
= 2
Step3:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
So, Greatest Common Divisor of 384, 694, 730, 448 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 694, 730, 448
The greatest common divisor of numbers 384, 694, 730, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 694, 730, 448 is 2.
1. What is the GCD of 384, 694, 730, 448?
GCD of given numbers 384, 694, 730, 448 is 2
2. How to calculate the greatest common divisor of 384, 694, 730, 448?
We can find the highest common divisor of 384, 694, 730, 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 384, 694, 730, 448 i.e 2.
3. How can I use the GCD of 384, 694, 730, 448Calculator?
Out the numbers 384, 694, 730, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.