Online GCD Calculator is useful to find the GCD of 320, 465, 652, 784 quickly. Get the easiest ways to solve the greatest common divisor of 320, 465, 652, 784 i.e 1 in different methods as follows.
Given Input numbers are 320, 465, 652, 784
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 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (320, 465, 652, 784) = 1.
Given numbers are 320, 465, 652, 784
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 465 are 3 x 5 x 31
Prime factors of 652 are 2 x 2 x 163
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 320, 465, 652, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 465) = 29760
GCD(320, 465) = ( 320 x 465 ) / 29760
= 320 / 465
= 320
Step2:
LCM(5, 652) = 3260
GCD(5, 652) = ( 5 x 652 ) / 3260
= 5 / 652
= 5
Step3:
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
= 1 / 784
= 1
So, Greatest Common Divisor of 320, 465, 652, 784 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 465, 652, 784
The greatest common divisor of numbers 320, 465, 652, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 465, 652, 784 is 1.
1. What is the GCD of 320, 465, 652, 784?
GCD of given numbers 320, 465, 652, 784 is 1
2. How to calculate the greatest common divisor of 320, 465, 652, 784?
We can find the highest common divisor of 320, 465, 652, 784 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, 465, 652, 784 i.e 1.
3. How can I use the GCD of 320, 465, 652, 784Calculator?
Out the numbers 320, 465, 652, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.