Online GCD Calculator is useful to find the GCD of 266, 514, 356, 396 quickly. Get the easiest ways to solve the greatest common divisor of 266, 514, 356, 396 i.e 2 in different methods as follows.
Given Input numbers are 266, 514, 356, 396
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 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (266, 514, 356, 396) = 2.
Given numbers are 266, 514, 356, 396
The list of prime factors of all numbers are
Prime factors of 266 are 2 x 7 x 19
Prime factors of 514 are 2 x 257
Prime factors of 356 are 2 x 2 x 89
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 266, 514, 356, 396 is 2.
Given numbers are 266, 514, 356, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(266, 514) = 68362
GCD(266, 514) = ( 266 x 514 ) / 68362
= 266 / 514
= 266
Step2:
LCM(2, 356) = 356
GCD(2, 356) = ( 2 x 356 ) / 356
= 2 / 356
= 2
Step3:
LCM(2, 396) = 396
GCD(2, 396) = ( 2 x 396 ) / 396
= 2 / 396
= 2
So, Greatest Common Divisor of 266, 514, 356, 396 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 266, 514, 356, 396
The greatest common divisor of numbers 266, 514, 356, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 514, 356, 396 is 2.
1. What is the GCD of 266, 514, 356, 396?
GCD of given numbers 266, 514, 356, 396 is 2
2. How to calculate the greatest common divisor of 266, 514, 356, 396?
We can find the highest common divisor of 266, 514, 356, 396 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, 514, 356, 396 i.e 2.
3. How can I use the GCD of 266, 514, 356, 396Calculator?
Out the numbers 266, 514, 356, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.