Online GCD Calculator is useful to find the GCD of 52, 36, 82, 66 quickly. Get the easiest ways to solve the greatest common divisor of 52, 36, 82, 66 i.e 2 in different methods as follows.
Given Input numbers are 52, 36, 82, 66
In the factoring method, we have to find the divisors of all numbers
Divisors of 52 :
The positive integer divisors of 52 that completely divides 52 are.
1, 2, 4, 13, 26, 52
Divisors of 36 :
The positive integer divisors of 36 that completely divides 36 are.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 82 :
The positive integer divisors of 82 that completely divides 82 are.
1, 2, 41, 82
Divisors of 66 :
The positive integer divisors of 66 that completely divides 66 are.
1, 2, 3, 6, 11, 22, 33, 66
GCD of numbers is the greatest common divisor
So, the GCD (52, 36, 82, 66) = 2.
Given numbers are 52, 36, 82, 66
The list of prime factors of all numbers are
Prime factors of 52 are 2 x 2 x 13
Prime factors of 36 are 2 x 2 x 3 x 3
Prime factors of 82 are 2 x 41
Prime factors of 66 are 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 52, 36, 82, 66 is 2.
Given numbers are 52, 36, 82, 66
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(52, 36) = 468
GCD(52, 36) = ( 52 x 36 ) / 468
= 52 / 36
= 52
Step2:
LCM(4, 82) = 164
GCD(4, 82) = ( 4 x 82 ) / 164
= 4 / 82
= 4
Step3:
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
= 2 / 66
= 2
So, Greatest Common Divisor of 52, 36, 82, 66 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 52, 36, 82, 66
The greatest common divisor of numbers 52, 36, 82, 66 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 52, 36, 82, 66 is 2.
1. What is the GCD of 52, 36, 82, 66?
GCD of given numbers 52, 36, 82, 66 is 2
2. How to calculate the greatest common divisor of 52, 36, 82, 66?
We can find the highest common divisor of 52, 36, 82, 66 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 52, 36, 82, 66 i.e 2.
3. How can I use the GCD of 52, 36, 82, 66Calculator?
Out the numbers 52, 36, 82, 66 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.