Online GCD Calculator is useful to find the GCD of 864, 350, 667, 768 quickly. Get the easiest ways to solve the greatest common divisor of 864, 350, 667, 768 i.e 1 in different methods as follows.
Given Input numbers are 864, 350, 667, 768
In the factoring method, we have to find the divisors of all numbers
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 667 :
The positive integer divisors of 667 that completely divides 667 are.
1, 23, 29, 667
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
GCD of numbers is the greatest common divisor
So, the GCD (864, 350, 667, 768) = 1.
Given numbers are 864, 350, 667, 768
The list of prime factors of all numbers are
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 667 are 23 x 29
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 864, 350, 667, 768
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 350) = 151200
GCD(864, 350) = ( 864 x 350 ) / 151200
= 864 / 350
= 864
Step2:
LCM(2, 667) = 1334
GCD(2, 667) = ( 2 x 667 ) / 1334
= 2 / 667
= 2
Step3:
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
= 1 / 768
= 1
So, Greatest Common Divisor of 864, 350, 667, 768 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 350, 667, 768
The greatest common divisor of numbers 864, 350, 667, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 350, 667, 768 is 1.
1. What is the GCD of 864, 350, 667, 768?
GCD of given numbers 864, 350, 667, 768 is 1
2. How to calculate the greatest common divisor of 864, 350, 667, 768?
We can find the highest common divisor of 864, 350, 667, 768 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 864, 350, 667, 768 i.e 1.
3. How can I use the GCD of 864, 350, 667, 768Calculator?
Out the numbers 864, 350, 667, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.