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 357, 218, 45, 454 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 218, 45, 454 is 1
GCD(357, 218, 45, 454) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 218, 45, 454 is 1
GCD(357, 218, 45, 454) = 1
Given Input numbers are 357, 218, 45, 454
To find the GCD of numbers using factoring list out all the divisors of each number
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 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Greatest Common Divisior
We found the divisors of 357, 218, 45, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 218, 45, 454 is 1.
Therefore, GCD of numbers 357, 218, 45, 454 is 1
Given Input Data is 357, 218, 45, 454
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 218 is 2 x 109
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 454 is 2 x 227
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(357, 218) = 77826
GCD(357, 218) = ( 357 x 218 ) / 77826
GCD(357, 218) = 77826 / 77826
GCD(357, 218) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 454
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 454) = 454
GCD(1, 454) = ( 1 x 454 ) / 454
GCD(1, 454) = 454 / 454
GCD(1, 454) = 1
GCD of 357, 218, 45, 454 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 218, 45, 454?
GCD of 357, 218, 45, 454 is 1
2. Where do I get the detailed procedure to find GCD of 357, 218, 45, 454?
You can find a detailed procedure to find GCD of 357, 218, 45, 454 on our page.
3. How to find GCD of 357, 218, 45, 454 on a calculator?
You can find the GCD of 357, 218, 45, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.