GCD of 65, 56, 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 65, 56, 72 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 56, 72 is 1
GCD(65, 56, 72) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 56, 72 is 1
GCD(65, 56, 72) = 1
GCDof 65,56,72 is 1
Given Input numbers are 65, 56, 72
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 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
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 65, 56, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 56, 72 is 1.
Therefore, GCD of numbers 65, 56, 72 is 1
Given Input Data is 65, 56, 72
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 65, 56, 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(65, 56) = 3640
GCD(65, 56) = ( 65 x 56 ) / 3640
GCD(65, 56) = 3640 / 3640
GCD(65, 56) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
GCD of 65, 56, 72 is 1
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FAQs on GCD of numbers 65, 56, 72
1. What is the GCD of 65, 56, 72?
GCD of 65, 56, 72 is 1
2. Where do I get the detailed procedure to find GCD of 65, 56, 72?
You can find a detailed procedure to find GCD of 65, 56, 72 on our page.
3. How to find GCD of 65, 56, 72 on a calculator?
You can find the GCD of 65, 56, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.