GCD of 52, 20, 72 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 52, 20, 72 i.e. 4 largest integer that divides all the numbers equally.
GCD of 52, 20, 72 is 4
GCD(52, 20, 72) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 20, 72 is 4
GCD(52, 20, 72) = 4
GCDof 52,20,72 is 4
Given Input numbers are 52, 20, 72
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Greatest Common Divisior
We found the divisors of 52, 20, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 20, 72 is 4.
Therefore, GCD of numbers 52, 20, 72 is 4
Given Input Data is 52, 20, 72
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 52, 20, 72 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(52, 20) = 260
GCD(52, 20) = ( 52 x 20 ) / 260
GCD(52, 20) = 1040 / 260
GCD(52, 20) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 72) = 72
GCD(4, 72) = ( 4 x 72 ) / 72
GCD(4, 72) = 288 / 72
GCD(4, 72) = 4
GCD of 52, 20, 72 is 4
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 52, 20, 72
1. What is the GCD of 52, 20, 72?
GCD of 52, 20, 72 is 4
2. Where do I get the detailed procedure to find GCD of 52, 20, 72?
You can find a detailed procedure to find GCD of 52, 20, 72 on our page.
3. How to find GCD of 52, 20, 72 on a calculator?
You can find the GCD of 52, 20, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.