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 441, 455, 938, 597 i.e. 1 largest integer that divides all the numbers equally.
GCD of 441, 455, 938, 597 is 1
GCD(441, 455, 938, 597) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 441, 455, 938, 597 is 1
GCD(441, 455, 938, 597) = 1
Given Input numbers are 441, 455, 938, 597
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Greatest Common Divisior
We found the divisors of 441, 455, 938, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 455, 938, 597 is 1.
Therefore, GCD of numbers 441, 455, 938, 597 is 1
Given Input Data is 441, 455, 938, 597
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 597 is 3 x 199
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(441, 455) = 28665
GCD(441, 455) = ( 441 x 455 ) / 28665
GCD(441, 455) = 200655 / 28665
GCD(441, 455) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 938) = 938
GCD(7, 938) = ( 7 x 938 ) / 938
GCD(7, 938) = 6566 / 938
GCD(7, 938) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 597
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 597) = 4179
GCD(7, 597) = ( 7 x 597 ) / 4179
GCD(7, 597) = 4179 / 4179
GCD(7, 597) = 1
GCD of 441, 455, 938, 597 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 441, 455, 938, 597?
GCD of 441, 455, 938, 597 is 1
2. Where do I get the detailed procedure to find GCD of 441, 455, 938, 597?
You can find a detailed procedure to find GCD of 441, 455, 938, 597 on our page.
3. How to find GCD of 441, 455, 938, 597 on a calculator?
You can find the GCD of 441, 455, 938, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.