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 514, 973, 379, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 514, 973, 379, 777 is 1
GCD(514, 973, 379, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 514, 973, 379, 777 is 1
GCD(514, 973, 379, 777) = 1
Given Input numbers are 514, 973, 379, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 514, 973, 379, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 973, 379, 777 is 1.
Therefore, GCD of numbers 514, 973, 379, 777 is 1
Given Input Data is 514, 973, 379, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 514 is 2 x 257
Prime Factorization of 973 is 7 x 139
Prime Factorization of 379 is 379
Prime Factorization of 777 is 3 x 7 x 37
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(514, 973) = 500122
GCD(514, 973) = ( 514 x 973 ) / 500122
GCD(514, 973) = 500122 / 500122
GCD(514, 973) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 514, 973, 379, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 514, 973, 379, 777?
GCD of 514, 973, 379, 777 is 1
2. Where do I get the detailed procedure to find GCD of 514, 973, 379, 777?
You can find a detailed procedure to find GCD of 514, 973, 379, 777 on our page.
3. How to find GCD of 514, 973, 379, 777 on a calculator?
You can find the GCD of 514, 973, 379, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.