GCD of 20, 87, 96 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 20, 87, 96 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 87, 96 is 1
GCD(20, 87, 96) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 87, 96 is 1
GCD(20, 87, 96) = 1
GCDof 20,87,96 is 1
Given Input numbers are 20, 87, 96
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Greatest Common Divisior
We found the divisors of 20, 87, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 87, 96 is 1.
Therefore, GCD of numbers 20, 87, 96 is 1
Given Input Data is 20, 87, 96
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 87 is 3 x 29
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 20, 87, 96 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(20, 87) = 1740
GCD(20, 87) = ( 20 x 87 ) / 1740
GCD(20, 87) = 1740 / 1740
GCD(20, 87) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
GCD of 20, 87, 96 is 1
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FAQs on GCD of numbers 20, 87, 96
1. What is the GCD of 20, 87, 96?
GCD of 20, 87, 96 is 1
2. Where do I get the detailed procedure to find GCD of 20, 87, 96?
You can find a detailed procedure to find GCD of 20, 87, 96 on our page.
3. How to find GCD of 20, 87, 96 on a calculator?
You can find the GCD of 20, 87, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.