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 317, 465, 490, 534 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 465, 490, 534 is 1
GCD(317, 465, 490, 534) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 465, 490, 534 is 1
GCD(317, 465, 490, 534) = 1
Given Input numbers are 317, 465, 490, 534
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 317, 465, 490, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 465, 490, 534 is 1.
Therefore, GCD of numbers 317, 465, 490, 534 is 1
Given Input Data is 317, 465, 490, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 534 is 2 x 3 x 89
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(317, 465) = 147405
GCD(317, 465) = ( 317 x 465 ) / 147405
GCD(317, 465) = 147405 / 147405
GCD(317, 465) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 534) = 534
GCD(1, 534) = ( 1 x 534 ) / 534
GCD(1, 534) = 534 / 534
GCD(1, 534) = 1
GCD of 317, 465, 490, 534 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 465, 490, 534?
GCD of 317, 465, 490, 534 is 1
2. Where do I get the detailed procedure to find GCD of 317, 465, 490, 534?
You can find a detailed procedure to find GCD of 317, 465, 490, 534 on our page.
3. How to find GCD of 317, 465, 490, 534 on a calculator?
You can find the GCD of 317, 465, 490, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.