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 131, 143, 745, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 143, 745, 849 is 1
GCD(131, 143, 745, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 143, 745, 849 is 1
GCD(131, 143, 745, 849) = 1
Given Input numbers are 131, 143, 745, 849
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 131, 143, 745, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 143, 745, 849 is 1.
Therefore, GCD of numbers 131, 143, 745, 849 is 1
Given Input Data is 131, 143, 745, 849
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 143 is 11 x 13
Prime Factorization of 745 is 5 x 149
Prime Factorization of 849 is 3 x 283
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(131, 143) = 18733
GCD(131, 143) = ( 131 x 143 ) / 18733
GCD(131, 143) = 18733 / 18733
GCD(131, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
GCD(1, 849) = 849 / 849
GCD(1, 849) = 1
GCD of 131, 143, 745, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 143, 745, 849?
GCD of 131, 143, 745, 849 is 1
2. Where do I get the detailed procedure to find GCD of 131, 143, 745, 849?
You can find a detailed procedure to find GCD of 131, 143, 745, 849 on our page.
3. How to find GCD of 131, 143, 745, 849 on a calculator?
You can find the GCD of 131, 143, 745, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.