Online GCD Calculator is useful to find the GCD of 266, 972, 918 quickly. Get the easiest ways to solve the greatest common divisor of 266, 972, 918 i.e 2 in different methods as follows.
Given Input numbers are 266, 972, 918
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (266, 972, 918) = 2.
Given numbers are 266, 972, 918
The list of prime factors of all numbers are
Prime factors of 266 are 2 x 7 x 19
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 266, 972, 918 is 2.
Given numbers are 266, 972, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(266, 972) = 129276
GCD(266, 972) = ( 266 x 972 ) / 129276
= 266 / 972
= 266
Step2:
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
= 2 / 918
= 2
So, Greatest Common Divisor of 266, 972, 918 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 266, 972, 918
The greatest common divisor of numbers 266, 972, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 972, 918 is 2.
1. What is the GCD of 266, 972, 918?
GCD of given numbers 266, 972, 918 is 2
2. How to calculate the greatest common divisor of 266, 972, 918?
We can find the highest common divisor of 266, 972, 918 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, 972, 918 i.e 2.
3. How can I use the GCD of 266, 972, 918Calculator?
Out the numbers 266, 972, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.