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, 854, 668, 249 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 854, 668, 249 is 1
GCD(777, 854, 668, 249) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 854, 668, 249 is 1
GCD(777, 854, 668, 249) = 1
Given Input numbers are 777, 854, 668, 249
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 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Greatest Common Divisior
We found the divisors of 777, 854, 668, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 854, 668, 249 is 1.
Therefore, GCD of numbers 777, 854, 668, 249 is 1
Given Input Data is 777, 854, 668, 249
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 854 is 2 x 7 x 61
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 249 is 3 x 83
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, 854) = 94794
GCD(777, 854) = ( 777 x 854 ) / 94794
GCD(777, 854) = 663558 / 94794
GCD(777, 854) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 668) = 4676
GCD(7, 668) = ( 7 x 668 ) / 4676
GCD(7, 668) = 4676 / 4676
GCD(7, 668) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
GCD of 777, 854, 668, 249 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 854, 668, 249?
GCD of 777, 854, 668, 249 is 1
2. Where do I get the detailed procedure to find GCD of 777, 854, 668, 249?
You can find a detailed procedure to find GCD of 777, 854, 668, 249 on our page.
3. How to find GCD of 777, 854, 668, 249 on a calculator?
You can find the GCD of 777, 854, 668, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.