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 417, 457, 357, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 417, 457, 357, 424 is 1
GCD(417, 457, 357, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 417, 457, 357, 424 is 1
GCD(417, 457, 357, 424) = 1
Given Input numbers are 417, 457, 357, 424
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 417, 457, 357, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 457, 357, 424 is 1.
Therefore, GCD of numbers 417, 457, 357, 424 is 1
Given Input Data is 417, 457, 357, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 417 is 3 x 139
Prime Factorization of 457 is 457
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 424 is 2 x 2 x 2 x 53
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(417, 457) = 190569
GCD(417, 457) = ( 417 x 457 ) / 190569
GCD(417, 457) = 190569 / 190569
GCD(417, 457) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 417, 457, 357, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 417, 457, 357, 424?
GCD of 417, 457, 357, 424 is 1
2. Where do I get the detailed procedure to find GCD of 417, 457, 357, 424?
You can find a detailed procedure to find GCD of 417, 457, 357, 424 on our page.
3. How to find GCD of 417, 457, 357, 424 on a calculator?
You can find the GCD of 417, 457, 357, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.