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 23, 770, 317, 277 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 770, 317, 277 is 1
GCD(23, 770, 317, 277) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 770, 317, 277 is 1
GCD(23, 770, 317, 277) = 1
Given Input numbers are 23, 770, 317, 277
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Greatest Common Divisior
We found the divisors of 23, 770, 317, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 770, 317, 277 is 1.
Therefore, GCD of numbers 23, 770, 317, 277 is 1
Given Input Data is 23, 770, 317, 277
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 317 is 317
Prime Factorization of 277 is 277
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(23, 770) = 17710
GCD(23, 770) = ( 23 x 770 ) / 17710
GCD(23, 770) = 17710 / 17710
GCD(23, 770) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 317) = 317
GCD(1, 317) = ( 1 x 317 ) / 317
GCD(1, 317) = 317 / 317
GCD(1, 317) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 277) = 277
GCD(1, 277) = ( 1 x 277 ) / 277
GCD(1, 277) = 277 / 277
GCD(1, 277) = 1
GCD of 23, 770, 317, 277 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 770, 317, 277?
GCD of 23, 770, 317, 277 is 1
2. Where do I get the detailed procedure to find GCD of 23, 770, 317, 277?
You can find a detailed procedure to find GCD of 23, 770, 317, 277 on our page.
3. How to find GCD of 23, 770, 317, 277 on a calculator?
You can find the GCD of 23, 770, 317, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.