Online GCD Calculator is useful to find the GCD of 364, 772, 886, 268 quickly. Get the easiest ways to solve the greatest common divisor of 364, 772, 886, 268 i.e 2 in different methods as follows.
Given Input numbers are 364, 772, 886, 268
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 886 :
The positive integer divisors of 886 that completely divides 886 are.
1, 2, 443, 886
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
GCD of numbers is the greatest common divisor
So, the GCD (364, 772, 886, 268) = 2.
Given numbers are 364, 772, 886, 268
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 772 are 2 x 2 x 193
Prime factors of 886 are 2 x 443
Prime factors of 268 are 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 364, 772, 886, 268 is 2.
Given numbers are 364, 772, 886, 268
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 772) = 70252
GCD(364, 772) = ( 364 x 772 ) / 70252
= 364 / 772
= 364
Step2:
LCM(4, 886) = 1772
GCD(4, 886) = ( 4 x 886 ) / 1772
= 4 / 886
= 4
Step3:
LCM(2, 268) = 268
GCD(2, 268) = ( 2 x 268 ) / 268
= 2 / 268
= 2
So, Greatest Common Divisor of 364, 772, 886, 268 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 772, 886, 268
The greatest common divisor of numbers 364, 772, 886, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 772, 886, 268 is 2.
1. What is the GCD of 364, 772, 886, 268?
GCD of given numbers 364, 772, 886, 268 is 2
2. How to calculate the greatest common divisor of 364, 772, 886, 268?
We can find the highest common divisor of 364, 772, 886, 268 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 364, 772, 886, 268 i.e 2.
3. How can I use the GCD of 364, 772, 886, 268Calculator?
Out the numbers 364, 772, 886, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.