Online GCD Calculator is useful to find the GCD of 768, 664, 286, 422 quickly. Get the easiest ways to solve the greatest common divisor of 768, 664, 286, 422 i.e 2 in different methods as follows.
Given Input numbers are 768, 664, 286, 422
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (768, 664, 286, 422) = 2.
Given numbers are 768, 664, 286, 422
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 286 are 2 x 11 x 13
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 768, 664, 286, 422 is 2.
Given numbers are 768, 664, 286, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 664) = 63744
GCD(768, 664) = ( 768 x 664 ) / 63744
= 768 / 664
= 768
Step2:
LCM(8, 286) = 1144
GCD(8, 286) = ( 8 x 286 ) / 1144
= 8 / 286
= 8
Step3:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
So, Greatest Common Divisor of 768, 664, 286, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 768, 664, 286, 422
The greatest common divisor of numbers 768, 664, 286, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 664, 286, 422 is 2.
1. What is the GCD of 768, 664, 286, 422?
GCD of given numbers 768, 664, 286, 422 is 2
2. How to calculate the greatest common divisor of 768, 664, 286, 422?
We can find the highest common divisor of 768, 664, 286, 422 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 768, 664, 286, 422 i.e 2.
3. How can I use the GCD of 768, 664, 286, 422Calculator?
Out the numbers 768, 664, 286, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.