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 130, 643, 69 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 643, 69 is 1
GCD(130, 643, 69) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 643, 69 is 1
GCD(130, 643, 69) = 1
Given Input numbers are 130, 643, 69
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Greatest Common Divisior
We found the divisors of 130, 643, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 643, 69 is 1.
Therefore, GCD of numbers 130, 643, 69 is 1
Given Input Data is 130, 643, 69
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 643 is 643
Prime Factorization of 69 is 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
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(130, 643) = 83590
GCD(130, 643) = ( 130 x 643 ) / 83590
GCD(130, 643) = 83590 / 83590
GCD(130, 643) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
GCD of 130, 643, 69 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 643, 69?
GCD of 130, 643, 69 is 1
2. Where do I get the detailed procedure to find GCD of 130, 643, 69?
You can find a detailed procedure to find GCD of 130, 643, 69 on our page.
3. How to find GCD of 130, 643, 69 on a calculator?
You can find the GCD of 130, 643, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.