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 770, 317, 203, 523 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 317, 203, 523 is 1
GCD(770, 317, 203, 523) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 317, 203, 523 is 1
GCD(770, 317, 203, 523) = 1
Given Input numbers are 770, 317, 203, 523
To find the GCD of numbers using factoring list out all the divisors of each number
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 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Greatest Common Divisior
We found the divisors of 770, 317, 203, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 317, 203, 523 is 1.
Therefore, GCD of numbers 770, 317, 203, 523 is 1
Given Input Data is 770, 317, 203, 523
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 317 is 317
Prime Factorization of 203 is 7 x 29
Prime Factorization of 523 is 523
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(770, 317) = 244090
GCD(770, 317) = ( 770 x 317 ) / 244090
GCD(770, 317) = 244090 / 244090
GCD(770, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
GCD of 770, 317, 203, 523 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 317, 203, 523?
GCD of 770, 317, 203, 523 is 1
2. Where do I get the detailed procedure to find GCD of 770, 317, 203, 523?
You can find a detailed procedure to find GCD of 770, 317, 203, 523 on our page.
3. How to find GCD of 770, 317, 203, 523 on a calculator?
You can find the GCD of 770, 317, 203, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.