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 371, 905, 29, 862 i.e. 1 largest integer that divides all the numbers equally.
GCD of 371, 905, 29, 862 is 1
GCD(371, 905, 29, 862) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 371, 905, 29, 862 is 1
GCD(371, 905, 29, 862) = 1
Given Input numbers are 371, 905, 29, 862
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Greatest Common Divisior
We found the divisors of 371, 905, 29, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 905, 29, 862 is 1.
Therefore, GCD of numbers 371, 905, 29, 862 is 1
Given Input Data is 371, 905, 29, 862
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 371 is 7 x 53
Prime Factorization of 905 is 5 x 181
Prime Factorization of 29 is 29
Prime Factorization of 862 is 2 x 431
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(371, 905) = 335755
GCD(371, 905) = ( 371 x 905 ) / 335755
GCD(371, 905) = 335755 / 335755
GCD(371, 905) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
GCD(1, 862) = 862 / 862
GCD(1, 862) = 1
GCD of 371, 905, 29, 862 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 371, 905, 29, 862?
GCD of 371, 905, 29, 862 is 1
2. Where do I get the detailed procedure to find GCD of 371, 905, 29, 862?
You can find a detailed procedure to find GCD of 371, 905, 29, 862 on our page.
3. How to find GCD of 371, 905, 29, 862 on a calculator?
You can find the GCD of 371, 905, 29, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.