GCD of 313, 188, 13, 644 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 313, 188, 13, 644 quickly. Get the easiest ways to solve the greatest common divisor of 313, 188, 13, 644 i.e 1 in different methods as follows.
Given Input numbers are 313, 188, 13, 644
In the factoring method, we have to find the divisors of all numbers
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 13 :
The positive integer divisors of 13 that completely divides 13 are.
1, 13
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
GCD of numbers is the greatest common divisor
So, the GCD (313, 188, 13, 644) = 1.
Given numbers are 313, 188, 13, 644
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 188 are 2 x 2 x 47
Prime factors of 13 are 13
Prime factors of 644 are 2 x 2 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 313, 188, 13, 644 using LCM Formula
Given numbers are 313, 188, 13, 644
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 188) = 58844
GCD(313, 188) = ( 313 x 188 ) / 58844
= 313 / 188
= 313
Step2:
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
= 1 / 13
= 1
Step3:
LCM(1, 644) = 644
GCD(1, 644) = ( 1 x 644 ) / 644
= 1 / 644
= 1
So, Greatest Common Divisor of 313, 188, 13, 644 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 313, 188, 13, 644
Given numbers are 313, 188, 13, 644
The greatest common divisor of numbers 313, 188, 13, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 188, 13, 644 is 1.
FAQs on GCD of 313, 188, 13, 644 Calculator
1. What is the GCD of 313, 188, 13, 644?
GCD of given numbers 313, 188, 13, 644 is 1
2. How to calculate the greatest common divisor of 313, 188, 13, 644?
We can find the highest common divisor of 313, 188, 13, 644 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 313, 188, 13, 644 i.e 1.
3. How can I use the GCD of 313, 188, 13, 644Calculator?
Out the numbers 313, 188, 13, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.