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 77, 154, 317, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 154, 317, 865 is 1
GCD(77, 154, 317, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 154, 317, 865 is 1
GCD(77, 154, 317, 865) = 1
Given Input numbers are 77, 154, 317, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 77, 154, 317, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 154, 317, 865 is 1.
Therefore, GCD of numbers 77, 154, 317, 865 is 1
Given Input Data is 77, 154, 317, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 317 is 317
Prime Factorization of 865 is 5 x 173
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(77, 154) = 154
GCD(77, 154) = ( 77 x 154 ) / 154
GCD(77, 154) = 11858 / 154
GCD(77, 154) = 77
Step2:
Here we consider the GCD from the above i.e. 77 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(77, 317) = 24409
GCD(77, 317) = ( 77 x 317 ) / 24409
GCD(77, 317) = 24409 / 24409
GCD(77, 317) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 77, 154, 317, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 154, 317, 865?
GCD of 77, 154, 317, 865 is 1
2. Where do I get the detailed procedure to find GCD of 77, 154, 317, 865?
You can find a detailed procedure to find GCD of 77, 154, 317, 865 on our page.
3. How to find GCD of 77, 154, 317, 865 on a calculator?
You can find the GCD of 77, 154, 317, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.