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 431, 908, 735, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 431, 908, 735, 385 is 1
GCD(431, 908, 735, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 431, 908, 735, 385 is 1
GCD(431, 908, 735, 385) = 1
Given Input numbers are 431, 908, 735, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 431, 908, 735, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 908, 735, 385 is 1.
Therefore, GCD of numbers 431, 908, 735, 385 is 1
Given Input Data is 431, 908, 735, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 431 is 431
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 385 is 5 x 7 x 11
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(431, 908) = 391348
GCD(431, 908) = ( 431 x 908 ) / 391348
GCD(431, 908) = 391348 / 391348
GCD(431, 908) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
GCD(1, 735) = 735 / 735
GCD(1, 735) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 431, 908, 735, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 431, 908, 735, 385?
GCD of 431, 908, 735, 385 is 1
2. Where do I get the detailed procedure to find GCD of 431, 908, 735, 385?
You can find a detailed procedure to find GCD of 431, 908, 735, 385 on our page.
3. How to find GCD of 431, 908, 735, 385 on a calculator?
You can find the GCD of 431, 908, 735, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.