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 405, 722, 61, 386 i.e. 1 largest integer that divides all the numbers equally.
GCD of 405, 722, 61, 386 is 1
GCD(405, 722, 61, 386) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 405, 722, 61, 386 is 1
GCD(405, 722, 61, 386) = 1
Given Input numbers are 405, 722, 61, 386
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 405, 722, 61, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 722, 61, 386 is 1.
Therefore, GCD of numbers 405, 722, 61, 386 is 1
Given Input Data is 405, 722, 61, 386
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 61 is 61
Prime Factorization of 386 is 2 x 193
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(405, 722) = 292410
GCD(405, 722) = ( 405 x 722 ) / 292410
GCD(405, 722) = 292410 / 292410
GCD(405, 722) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
GCD of 405, 722, 61, 386 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 405, 722, 61, 386?
GCD of 405, 722, 61, 386 is 1
2. Where do I get the detailed procedure to find GCD of 405, 722, 61, 386?
You can find a detailed procedure to find GCD of 405, 722, 61, 386 on our page.
3. How to find GCD of 405, 722, 61, 386 on a calculator?
You can find the GCD of 405, 722, 61, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.