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, 236, 57, 407 i.e. 1 largest integer that divides all the numbers equally.
GCD of 418, 236, 57, 407 is 1
GCD(418, 236, 57, 407) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 418, 236, 57, 407 is 1
GCD(418, 236, 57, 407) = 1
Given Input numbers are 418, 236, 57, 407
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 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Greatest Common Divisior
We found the divisors of 418, 236, 57, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 236, 57, 407 is 1.
Therefore, GCD of numbers 418, 236, 57, 407 is 1
Given Input Data is 418, 236, 57, 407
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 236 is 2 x 2 x 59
Prime Factorization of 57 is 3 x 19
Prime Factorization of 407 is 11 x 37
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, 236) = 49324
GCD(418, 236) = ( 418 x 236 ) / 49324
GCD(418, 236) = 98648 / 49324
GCD(418, 236) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 407) = 407
GCD(1, 407) = ( 1 x 407 ) / 407
GCD(1, 407) = 407 / 407
GCD(1, 407) = 1
GCD of 418, 236, 57, 407 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 418, 236, 57, 407?
GCD of 418, 236, 57, 407 is 1
2. Where do I get the detailed procedure to find GCD of 418, 236, 57, 407?
You can find a detailed procedure to find GCD of 418, 236, 57, 407 on our page.
3. How to find GCD of 418, 236, 57, 407 on a calculator?
You can find the GCD of 418, 236, 57, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.