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 871, 385, 10, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 385, 10, 942 is 1
GCD(871, 385, 10, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 385, 10, 942 is 1
GCD(871, 385, 10, 942) = 1
Given Input numbers are 871, 385, 10, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 871, 385, 10, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 385, 10, 942 is 1.
Therefore, GCD of numbers 871, 385, 10, 942 is 1
Given Input Data is 871, 385, 10, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 10 is 2 x 5
Prime Factorization of 942 is 2 x 3 x 157
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(871, 385) = 335335
GCD(871, 385) = ( 871 x 385 ) / 335335
GCD(871, 385) = 335335 / 335335
GCD(871, 385) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 871, 385, 10, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 385, 10, 942?
GCD of 871, 385, 10, 942 is 1
2. Where do I get the detailed procedure to find GCD of 871, 385, 10, 942?
You can find a detailed procedure to find GCD of 871, 385, 10, 942 on our page.
3. How to find GCD of 871, 385, 10, 942 on a calculator?
You can find the GCD of 871, 385, 10, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.