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, 165, 592, 262 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 165, 592, 262 is 1
GCD(130, 165, 592, 262) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 165, 592, 262 is 1
GCD(130, 165, 592, 262) = 1
Given Input numbers are 130, 165, 592, 262
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 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Greatest Common Divisior
We found the divisors of 130, 165, 592, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 165, 592, 262 is 1.
Therefore, GCD of numbers 130, 165, 592, 262 is 1
Given Input Data is 130, 165, 592, 262
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 165 is 3 x 5 x 11
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 262 is 2 x 131
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, 165) = 4290
GCD(130, 165) = ( 130 x 165 ) / 4290
GCD(130, 165) = 21450 / 4290
GCD(130, 165) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 592) = 2960
GCD(5, 592) = ( 5 x 592 ) / 2960
GCD(5, 592) = 2960 / 2960
GCD(5, 592) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
GCD(1, 262) = 262 / 262
GCD(1, 262) = 1
GCD of 130, 165, 592, 262 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 165, 592, 262?
GCD of 130, 165, 592, 262 is 1
2. Where do I get the detailed procedure to find GCD of 130, 165, 592, 262?
You can find a detailed procedure to find GCD of 130, 165, 592, 262 on our page.
3. How to find GCD of 130, 165, 592, 262 on a calculator?
You can find the GCD of 130, 165, 592, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.