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, 801, 30, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 801, 30, 949 is 1
GCD(777, 801, 30, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 801, 30, 949 is 1
GCD(777, 801, 30, 949) = 1
Given Input numbers are 777, 801, 30, 949
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 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 777, 801, 30, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 801, 30, 949 is 1.
Therefore, GCD of numbers 777, 801, 30, 949 is 1
Given Input Data is 777, 801, 30, 949
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 801 is 3 x 3 x 89
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 949 is 13 x 73
The above numbers do not have any common prime factor. So GCD is 1
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, 801) = 207459
GCD(777, 801) = ( 777 x 801 ) / 207459
GCD(777, 801) = 622377 / 207459
GCD(777, 801) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 30) = 30
GCD(3, 30) = ( 3 x 30 ) / 30
GCD(3, 30) = 90 / 30
GCD(3, 30) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 949) = 2847
GCD(3, 949) = ( 3 x 949 ) / 2847
GCD(3, 949) = 2847 / 2847
GCD(3, 949) = 1
GCD of 777, 801, 30, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 801, 30, 949?
GCD of 777, 801, 30, 949 is 1
2. Where do I get the detailed procedure to find GCD of 777, 801, 30, 949?
You can find a detailed procedure to find GCD of 777, 801, 30, 949 on our page.
3. How to find GCD of 777, 801, 30, 949 on a calculator?
You can find the GCD of 777, 801, 30, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.