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, 755, 354, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 431, 755, 354, 587 is 1
GCD(431, 755, 354, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 431, 755, 354, 587 is 1
GCD(431, 755, 354, 587) = 1
Given Input numbers are 431, 755, 354, 587
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 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 431, 755, 354, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 755, 354, 587 is 1.
Therefore, GCD of numbers 431, 755, 354, 587 is 1
Given Input Data is 431, 755, 354, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 431 is 431
Prime Factorization of 755 is 5 x 151
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 587 is 587
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, 755) = 325405
GCD(431, 755) = ( 431 x 755 ) / 325405
GCD(431, 755) = 325405 / 325405
GCD(431, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
GCD(1, 587) = 587 / 587
GCD(1, 587) = 1
GCD of 431, 755, 354, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 431, 755, 354, 587?
GCD of 431, 755, 354, 587 is 1
2. Where do I get the detailed procedure to find GCD of 431, 755, 354, 587?
You can find a detailed procedure to find GCD of 431, 755, 354, 587 on our page.
3. How to find GCD of 431, 755, 354, 587 on a calculator?
You can find the GCD of 431, 755, 354, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.