GCD of 363, 153, 260 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 363, 153, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 153, 260 is 1
GCD(363, 153, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 153, 260 is 1
GCD(363, 153, 260) = 1
GCDof 363,153,260 is 1
Given Input numbers are 363, 153, 260
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 363, 153, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 153, 260 is 1.
Therefore, GCD of numbers 363, 153, 260 is 1
Given Input Data is 363, 153, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 260 is 2 x 2 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 363, 153, 260 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(363, 153) = 18513
GCD(363, 153) = ( 363 x 153 ) / 18513
GCD(363, 153) = 55539 / 18513
GCD(363, 153) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 260) = 780
GCD(3, 260) = ( 3 x 260 ) / 780
GCD(3, 260) = 780 / 780
GCD(3, 260) = 1
GCD of 363, 153, 260 is 1
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FAQs on GCD of numbers 363, 153, 260
1. What is the GCD of 363, 153, 260?
GCD of 363, 153, 260 is 1
2. Where do I get the detailed procedure to find GCD of 363, 153, 260?
You can find a detailed procedure to find GCD of 363, 153, 260 on our page.
3. How to find GCD of 363, 153, 260 on a calculator?
You can find the GCD of 363, 153, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.