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 418, 400, 36, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 418, 400, 36, 653 is 1
GCD(418, 400, 36, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 418, 400, 36, 653 is 1
GCD(418, 400, 36, 653) = 1
Given Input numbers are 418, 400, 36, 653
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 418, 400, 36, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 400, 36, 653 is 1.
Therefore, GCD of numbers 418, 400, 36, 653 is 1
Given Input Data is 418, 400, 36, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 653 is 653
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(418, 400) = 83600
GCD(418, 400) = ( 418 x 400 ) / 83600
GCD(418, 400) = 167200 / 83600
GCD(418, 400) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 653) = 1306
GCD(2, 653) = ( 2 x 653 ) / 1306
GCD(2, 653) = 1306 / 1306
GCD(2, 653) = 1
GCD of 418, 400, 36, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 418, 400, 36, 653?
GCD of 418, 400, 36, 653 is 1
2. Where do I get the detailed procedure to find GCD of 418, 400, 36, 653?
You can find a detailed procedure to find GCD of 418, 400, 36, 653 on our page.
3. How to find GCD of 418, 400, 36, 653 on a calculator?
You can find the GCD of 418, 400, 36, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.