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 813, 831, 70, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 831, 70, 149 is 1
GCD(813, 831, 70, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 831, 70, 149 is 1
GCD(813, 831, 70, 149) = 1
Given Input numbers are 813, 831, 70, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 813, 831, 70, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 831, 70, 149 is 1.
Therefore, GCD of numbers 813, 831, 70, 149 is 1
Given Input Data is 813, 831, 70, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 831 is 3 x 277
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 149 is 149
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(813, 831) = 225201
GCD(813, 831) = ( 813 x 831 ) / 225201
GCD(813, 831) = 675603 / 225201
GCD(813, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 70) = 210
GCD(3, 70) = ( 3 x 70 ) / 210
GCD(3, 70) = 210 / 210
GCD(3, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
GCD of 813, 831, 70, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 831, 70, 149?
GCD of 813, 831, 70, 149 is 1
2. Where do I get the detailed procedure to find GCD of 813, 831, 70, 149?
You can find a detailed procedure to find GCD of 813, 831, 70, 149 on our page.
3. How to find GCD of 813, 831, 70, 149 on a calculator?
You can find the GCD of 813, 831, 70, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.