GCD of 724, 180, 53 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 724, 180, 53 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 180, 53 is 1
GCD(724, 180, 53) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 180, 53 is 1
GCD(724, 180, 53) = 1
GCDof 724,180,53 is 1
Given Input numbers are 724, 180, 53
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Greatest Common Divisior
We found the divisors of 724, 180, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 180, 53 is 1.
Therefore, GCD of numbers 724, 180, 53 is 1
Given Input Data is 724, 180, 53
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 53 is 53
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 724, 180, 53 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(724, 180) = 32580
GCD(724, 180) = ( 724 x 180 ) / 32580
GCD(724, 180) = 130320 / 32580
GCD(724, 180) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 53) = 212
GCD(4, 53) = ( 4 x 53 ) / 212
GCD(4, 53) = 212 / 212
GCD(4, 53) = 1
GCD of 724, 180, 53 is 1
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FAQs on GCD of numbers 724, 180, 53
1. What is the GCD of 724, 180, 53?
GCD of 724, 180, 53 is 1
2. Where do I get the detailed procedure to find GCD of 724, 180, 53?
You can find a detailed procedure to find GCD of 724, 180, 53 on our page.
3. How to find GCD of 724, 180, 53 on a calculator?
You can find the GCD of 724, 180, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
