GCD of 144, 580, 103 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 144, 580, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 580, 103 is 1
GCD(144, 580, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 580, 103 is 1
GCD(144, 580, 103) = 1
GCDof 144,580,103 is 1
Given Input numbers are 144, 580, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 144, 580, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 580, 103 is 1.
Therefore, GCD of numbers 144, 580, 103 is 1
Given Input Data is 144, 580, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 103 is 103
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 144, 580, 103 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(144, 580) = 20880
GCD(144, 580) = ( 144 x 580 ) / 20880
GCD(144, 580) = 83520 / 20880
GCD(144, 580) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 103) = 412
GCD(4, 103) = ( 4 x 103 ) / 412
GCD(4, 103) = 412 / 412
GCD(4, 103) = 1
GCD of 144, 580, 103 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 144, 580, 103
1. What is the GCD of 144, 580, 103?
GCD of 144, 580, 103 is 1
2. Where do I get the detailed procedure to find GCD of 144, 580, 103?
You can find a detailed procedure to find GCD of 144, 580, 103 on our page.
3. How to find GCD of 144, 580, 103 on a calculator?
You can find the GCD of 144, 580, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.