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 465, 515, 685, 492 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 515, 685, 492 is 1
GCD(465, 515, 685, 492) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 515, 685, 492 is 1
GCD(465, 515, 685, 492) = 1
Given Input numbers are 465, 515, 685, 492
To find the GCD of numbers using factoring list out all the divisors of each number
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 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Greatest Common Divisior
We found the divisors of 465, 515, 685, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 515, 685, 492 is 1.
Therefore, GCD of numbers 465, 515, 685, 492 is 1
Given Input Data is 465, 515, 685, 492
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 515 is 5 x 103
Prime Factorization of 685 is 5 x 137
Prime Factorization of 492 is 2 x 2 x 3 x 41
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(465, 515) = 47895
GCD(465, 515) = ( 465 x 515 ) / 47895
GCD(465, 515) = 239475 / 47895
GCD(465, 515) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 685) = 685
GCD(5, 685) = ( 5 x 685 ) / 685
GCD(5, 685) = 3425 / 685
GCD(5, 685) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 492
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 492) = 2460
GCD(5, 492) = ( 5 x 492 ) / 2460
GCD(5, 492) = 2460 / 2460
GCD(5, 492) = 1
GCD of 465, 515, 685, 492 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 515, 685, 492?
GCD of 465, 515, 685, 492 is 1
2. Where do I get the detailed procedure to find GCD of 465, 515, 685, 492?
You can find a detailed procedure to find GCD of 465, 515, 685, 492 on our page.
3. How to find GCD of 465, 515, 685, 492 on a calculator?
You can find the GCD of 465, 515, 685, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.