Online GCD Calculator is useful to find the GCD of 812, 266, 252 quickly. Get the easiest ways to solve the greatest common divisor of 812, 266, 252 i.e 14 in different methods as follows.
Given Input numbers are 812, 266, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (812, 266, 252) = 14.
Given numbers are 812, 266, 252
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 266 are 2 x 7 x 19
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 812, 266, 252 is 14.
Given numbers are 812, 266, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 266) = 15428
GCD(812, 266) = ( 812 x 266 ) / 15428
= 812 / 266
= 812
Step2:
LCM(14, 252) = 252
GCD(14, 252) = ( 14 x 252 ) / 252
= 14 / 252
= 14
So, Greatest Common Divisor of 812, 266, 252 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 266, 252
The greatest common divisor of numbers 812, 266, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 266, 252 is 14.
1. What is the GCD of 812, 266, 252?
GCD of given numbers 812, 266, 252 is 14
2. How to calculate the greatest common divisor of 812, 266, 252?
We can find the highest common divisor of 812, 266, 252 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 812, 266, 252 i.e 14.
3. How can I use the GCD of 812, 266, 252Calculator?
Out the numbers 812, 266, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.