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, 910, 79, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 910, 79, 507 is 1
GCD(465, 910, 79, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 910, 79, 507 is 1
GCD(465, 910, 79, 507) = 1
Given Input numbers are 465, 910, 79, 507
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 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 465, 910, 79, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 910, 79, 507 is 1.
Therefore, GCD of numbers 465, 910, 79, 507 is 1
Given Input Data is 465, 910, 79, 507
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 910 is 2 x 5 x 7 x 13
Prime Factorization of 79 is 79
Prime Factorization of 507 is 3 x 13 x 13
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, 910) = 84630
GCD(465, 910) = ( 465 x 910 ) / 84630
GCD(465, 910) = 423150 / 84630
GCD(465, 910) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 79) = 395
GCD(5, 79) = ( 5 x 79 ) / 395
GCD(5, 79) = 395 / 395
GCD(5, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
GCD of 465, 910, 79, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 910, 79, 507?
GCD of 465, 910, 79, 507 is 1
2. Where do I get the detailed procedure to find GCD of 465, 910, 79, 507?
You can find a detailed procedure to find GCD of 465, 910, 79, 507 on our page.
3. How to find GCD of 465, 910, 79, 507 on a calculator?
You can find the GCD of 465, 910, 79, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.