GCD of 25, 80, 64 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 25, 80, 64 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 80, 64 is 1
GCD(25, 80, 64) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 80, 64 is 1
GCD(25, 80, 64) = 1
GCDof 25,80,64 is 1
Given Input numbers are 25, 80, 64
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Greatest Common Divisior
We found the divisors of 25, 80, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 80, 64 is 1.
Therefore, GCD of numbers 25, 80, 64 is 1
Given Input Data is 25, 80, 64
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 25, 80, 64 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(25, 80) = 400
GCD(25, 80) = ( 25 x 80 ) / 400
GCD(25, 80) = 2000 / 400
GCD(25, 80) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 64) = 320
GCD(5, 64) = ( 5 x 64 ) / 320
GCD(5, 64) = 320 / 320
GCD(5, 64) = 1
GCD of 25, 80, 64 is 1
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FAQs on GCD of numbers 25, 80, 64
1. What is the GCD of 25, 80, 64?
GCD of 25, 80, 64 is 1
2. Where do I get the detailed procedure to find GCD of 25, 80, 64?
You can find a detailed procedure to find GCD of 25, 80, 64 on our page.
3. How to find GCD of 25, 80, 64 on a calculator?
You can find the GCD of 25, 80, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.