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 61, 410, 465, 996 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 410, 465, 996 is 1
GCD(61, 410, 465, 996) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 410, 465, 996 is 1
GCD(61, 410, 465, 996) = 1
Given Input numbers are 61, 410, 465, 996
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
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 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 61, 410, 465, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 410, 465, 996 is 1.
Therefore, GCD of numbers 61, 410, 465, 996 is 1
Given Input Data is 61, 410, 465, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 996 is 2 x 2 x 3 x 83
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(61, 410) = 25010
GCD(61, 410) = ( 61 x 410 ) / 25010
GCD(61, 410) = 25010 / 25010
GCD(61, 410) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
GCD(1, 465) = 465 / 465
GCD(1, 465) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
GCD of 61, 410, 465, 996 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 410, 465, 996?
GCD of 61, 410, 465, 996 is 1
2. Where do I get the detailed procedure to find GCD of 61, 410, 465, 996?
You can find a detailed procedure to find GCD of 61, 410, 465, 996 on our page.
3. How to find GCD of 61, 410, 465, 996 on a calculator?
You can find the GCD of 61, 410, 465, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.