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, 347, 42, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 497, 347, 42, 775 is 1
GCD(497, 347, 42, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 497, 347, 42, 775 is 1
GCD(497, 347, 42, 775) = 1
Given Input numbers are 497, 347, 42, 775
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 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 497, 347, 42, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 347, 42, 775 is 1.
Therefore, GCD of numbers 497, 347, 42, 775 is 1
Given Input Data is 497, 347, 42, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 497 is 7 x 71
Prime Factorization of 347 is 347
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 775 is 5 x 5 x 31
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, 347) = 172459
GCD(497, 347) = ( 497 x 347 ) / 172459
GCD(497, 347) = 172459 / 172459
GCD(497, 347) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 497, 347, 42, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 497, 347, 42, 775?
GCD of 497, 347, 42, 775 is 1
2. Where do I get the detailed procedure to find GCD of 497, 347, 42, 775?
You can find a detailed procedure to find GCD of 497, 347, 42, 775 on our page.
3. How to find GCD of 497, 347, 42, 775 on a calculator?
You can find the GCD of 497, 347, 42, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.