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, 245, 90, 854 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 245, 90, 854 is 1
GCD(777, 245, 90, 854) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 245, 90, 854 is 1
GCD(777, 245, 90, 854) = 1
Given Input numbers are 777, 245, 90, 854
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 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Greatest Common Divisior
We found the divisors of 777, 245, 90, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 245, 90, 854 is 1.
Therefore, GCD of numbers 777, 245, 90, 854 is 1
Given Input Data is 777, 245, 90, 854
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 245 is 5 x 7 x 7
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 854 is 2 x 7 x 61
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, 245) = 27195
GCD(777, 245) = ( 777 x 245 ) / 27195
GCD(777, 245) = 190365 / 27195
GCD(777, 245) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 90) = 630
GCD(7, 90) = ( 7 x 90 ) / 630
GCD(7, 90) = 630 / 630
GCD(7, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
GCD of 777, 245, 90, 854 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 245, 90, 854?
GCD of 777, 245, 90, 854 is 1
2. Where do I get the detailed procedure to find GCD of 777, 245, 90, 854?
You can find a detailed procedure to find GCD of 777, 245, 90, 854 on our page.
3. How to find GCD of 777, 245, 90, 854 on a calculator?
You can find the GCD of 777, 245, 90, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.