GCD of 777, 300, 20 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 777, 300, 20 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 300, 20 is 1
GCD(777, 300, 20) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 300, 20 is 1
GCD(777, 300, 20) = 1
GCDof 777,300,20 is 1
Given Input numbers are 777, 300, 20
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Greatest Common Divisior
We found the divisors of 777, 300, 20 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 300, 20 is 1.
Therefore, GCD of numbers 777, 300, 20 is 1
Given Input Data is 777, 300, 20
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 20 is 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 777, 300, 20 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(777, 300) = 77700
GCD(777, 300) = ( 777 x 300 ) / 77700
GCD(777, 300) = 233100 / 77700
GCD(777, 300) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 20) = 60
GCD(3, 20) = ( 3 x 20 ) / 60
GCD(3, 20) = 60 / 60
GCD(3, 20) = 1
GCD of 777, 300, 20 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 777, 300, 20
1. What is the GCD of 777, 300, 20?
GCD of 777, 300, 20 is 1
2. Where do I get the detailed procedure to find GCD of 777, 300, 20?
You can find a detailed procedure to find GCD of 777, 300, 20 on our page.
3. How to find GCD of 777, 300, 20 on a calculator?
You can find the GCD of 777, 300, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.