GCD of 131, 300, 648 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 131, 300, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 300, 648 is 1
GCD(131, 300, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 300, 648 is 1
GCD(131, 300, 648) = 1
GCDof 131,300,648 is 1
Given Input numbers are 131, 300, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 131, 300, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 300, 648 is 1.
Therefore, GCD of numbers 131, 300, 648 is 1
Given Input Data is 131, 300, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 131, 300, 648 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(131, 300) = 39300
GCD(131, 300) = ( 131 x 300 ) / 39300
GCD(131, 300) = 39300 / 39300
GCD(131, 300) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 131, 300, 648 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 131, 300, 648
1. What is the GCD of 131, 300, 648?
GCD of 131, 300, 648 is 1
2. Where do I get the detailed procedure to find GCD of 131, 300, 648?
You can find a detailed procedure to find GCD of 131, 300, 648 on our page.
3. How to find GCD of 131, 300, 648 on a calculator?
You can find the GCD of 131, 300, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.