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 497, 918, 431, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 497, 918, 431, 357 is 1
GCD(497, 918, 431, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 497, 918, 431, 357 is 1
GCD(497, 918, 431, 357) = 1
Given Input numbers are 497, 918, 431, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 497, 918, 431, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 918, 431, 357 is 1.
Therefore, GCD of numbers 497, 918, 431, 357 is 1
Given Input Data is 497, 918, 431, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 497 is 7 x 71
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 431 is 431
Prime Factorization of 357 is 3 x 7 x 17
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(497, 918) = 456246
GCD(497, 918) = ( 497 x 918 ) / 456246
GCD(497, 918) = 456246 / 456246
GCD(497, 918) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
Step3:
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
GCD of 497, 918, 431, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 497, 918, 431, 357?
GCD of 497, 918, 431, 357 is 1
2. Where do I get the detailed procedure to find GCD of 497, 918, 431, 357?
You can find a detailed procedure to find GCD of 497, 918, 431, 357 on our page.
3. How to find GCD of 497, 918, 431, 357 on a calculator?
You can find the GCD of 497, 918, 431, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.