GCD of 95, 20, 60 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 95, 20, 60 i.e. 5 largest integer that divides all the numbers equally.
GCD of 95, 20, 60 is 5
GCD(95, 20, 60) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 95, 20, 60 is 5
GCD(95, 20, 60) = 5
GCDof 95,20,60 is 5
Given Input numbers are 95, 20, 60
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Greatest Common Divisior
We found the divisors of 95, 20, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 20, 60 is 5.
Therefore, GCD of numbers 95, 20, 60 is 5
Given Input Data is 95, 20, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 95 is 5 x 19
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 60 is 2 x 2 x 3 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 95, 20, 60 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(95, 20) = 380
GCD(95, 20) = ( 95 x 20 ) / 380
GCD(95, 20) = 1900 / 380
GCD(95, 20) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 60) = 60
GCD(5, 60) = ( 5 x 60 ) / 60
GCD(5, 60) = 300 / 60
GCD(5, 60) = 5
GCD of 95, 20, 60 is 5
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FAQs on GCD of numbers 95, 20, 60
1. What is the GCD of 95, 20, 60?
GCD of 95, 20, 60 is 5
2. Where do I get the detailed procedure to find GCD of 95, 20, 60?
You can find a detailed procedure to find GCD of 95, 20, 60 on our page.
3. How to find GCD of 95, 20, 60 on a calculator?
You can find the GCD of 95, 20, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.