Online GCD Calculator is useful to find the GCD of 53, 12, 14, 53 quickly. Get the easiest ways to solve the greatest common divisor of 53, 12, 14, 53 i.e 1 in different methods as follows.
Given Input numbers are 53, 12, 14, 53
In the factoring method, we have to find the divisors of all numbers
Divisors of 53 :
The positive integer divisors of 53 that completely divides 53 are.
1, 53
Divisors of 12 :
The positive integer divisors of 12 that completely divides 12 are.
1, 2, 3, 4, 6, 12
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 53 :
The positive integer divisors of 53 that completely divides 53 are.
1, 53
GCD of numbers is the greatest common divisor
So, the GCD (53, 12, 14, 53) = 1.
Given numbers are 53, 12, 14, 53
The list of prime factors of all numbers are
Prime factors of 53 are 53
Prime factors of 12 are 2 x 2 x 3
Prime factors of 14 are 2 x 7
Prime factors of 53 are 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 53, 12, 14, 53
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(53, 12) = 636
GCD(53, 12) = ( 53 x 12 ) / 636
= 53 / 12
= 53
Step2:
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
= 1 / 14
= 1
Step3:
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
= 1 / 53
= 1
So, Greatest Common Divisor of 53, 12, 14, 53 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 53, 12, 14, 53
The greatest common divisor of numbers 53, 12, 14, 53 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 53, 12, 14, 53 is 1.
1. What is the GCD of 53, 12, 14, 53?
GCD of given numbers 53, 12, 14, 53 is 1
2. How to calculate the greatest common divisor of 53, 12, 14, 53?
We can find the highest common divisor of 53, 12, 14, 53 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 53, 12, 14, 53 i.e 1.
3. How can I use the GCD of 53, 12, 14, 53Calculator?
Out the numbers 53, 12, 14, 53 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.