Online GCD Calculator is useful to find the GCD of 266, 246, 180, 728 quickly. Get the easiest ways to solve the greatest common divisor of 266, 246, 180, 728 i.e 2 in different methods as follows.
Given Input numbers are 266, 246, 180, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 246 :
The positive integer divisors of 246 that completely divides 246 are.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (266, 246, 180, 728) = 2.
Given numbers are 266, 246, 180, 728
The list of prime factors of all numbers are
Prime factors of 266 are 2 x 7 x 19
Prime factors of 246 are 2 x 3 x 41
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 266, 246, 180, 728 is 2.
Given numbers are 266, 246, 180, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(266, 246) = 32718
GCD(266, 246) = ( 266 x 246 ) / 32718
= 266 / 246
= 266
Step2:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
Step3:
LCM(2, 728) = 728
GCD(2, 728) = ( 2 x 728 ) / 728
= 2 / 728
= 2
So, Greatest Common Divisor of 266, 246, 180, 728 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 266, 246, 180, 728
The greatest common divisor of numbers 266, 246, 180, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 246, 180, 728 is 2.
1. What is the GCD of 266, 246, 180, 728?
GCD of given numbers 266, 246, 180, 728 is 2
2. How to calculate the greatest common divisor of 266, 246, 180, 728?
We can find the highest common divisor of 266, 246, 180, 728 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 266, 246, 180, 728 i.e 2.
3. How can I use the GCD of 266, 246, 180, 728Calculator?
Out the numbers 266, 246, 180, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.