GCD of 65, 65, 52 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 65, 65, 52 i.e. 13 largest integer that divides all the numbers equally.
GCD of 65, 65, 52 is 13
GCD(65, 65, 52) = 13
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 65, 52 is 13
GCD(65, 65, 52) = 13
GCDof 65,65,52 is 13
Given Input numbers are 65, 65, 52
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Greatest Common Divisior
We found the divisors of 65, 65, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 65, 52 is 13.
Therefore, GCD of numbers 65, 65, 52 is 13
Given Input Data is 65, 65, 52
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 65 is 5 x 13
Prime Factorization of 52 is 2 x 2 x 13
Highest common occurrences in the given inputs are 131
Multiplying them we get the GCD as 13
Finding GCD of 65, 65, 52 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(65, 65) = 65
GCD(65, 65) = ( 65 x 65 ) / 65
GCD(65, 65) = 4225 / 65
GCD(65, 65) = 65
Step2:
Here we consider the GCD from the above i.e. 65 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(65, 52) = 260
GCD(65, 52) = ( 65 x 52 ) / 260
GCD(65, 52) = 3380 / 260
GCD(65, 52) = 13
GCD of 65, 65, 52 is 13
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FAQs on GCD of numbers 65, 65, 52
1. What is the GCD of 65, 65, 52?
GCD of 65, 65, 52 is 13
2. Where do I get the detailed procedure to find GCD of 65, 65, 52?
You can find a detailed procedure to find GCD of 65, 65, 52 on our page.
3. How to find GCD of 65, 65, 52 on a calculator?
You can find the GCD of 65, 65, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.