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, 262, 196, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 405, 262, 196, 368 is 1
GCD(405, 262, 196, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 405, 262, 196, 368 is 1
GCD(405, 262, 196, 368) = 1
Given Input numbers are 405, 262, 196, 368
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 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 405, 262, 196, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 262, 196, 368 is 1.
Therefore, GCD of numbers 405, 262, 196, 368 is 1
Given Input Data is 405, 262, 196, 368
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 262 is 2 x 131
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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, 262) = 106110
GCD(405, 262) = ( 405 x 262 ) / 106110
GCD(405, 262) = 106110 / 106110
GCD(405, 262) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 405, 262, 196, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 405, 262, 196, 368?
GCD of 405, 262, 196, 368 is 1
2. Where do I get the detailed procedure to find GCD of 405, 262, 196, 368?
You can find a detailed procedure to find GCD of 405, 262, 196, 368 on our page.
3. How to find GCD of 405, 262, 196, 368 on a calculator?
You can find the GCD of 405, 262, 196, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.