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, 335, 44, 738 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 335, 44, 738 is 1
GCD(871, 335, 44, 738) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 335, 44, 738 is 1
GCD(871, 335, 44, 738) = 1
Given Input numbers are 871, 335, 44, 738
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 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 871, 335, 44, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 335, 44, 738 is 1.
Therefore, GCD of numbers 871, 335, 44, 738 is 1
Given Input Data is 871, 335, 44, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 335 is 5 x 67
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 738 is 2 x 3 x 3 x 41
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, 335) = 4355
GCD(871, 335) = ( 871 x 335 ) / 4355
GCD(871, 335) = 291785 / 4355
GCD(871, 335) = 67
Step2:
Here we consider the GCD from the above i.e. 67 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(67, 44) = 2948
GCD(67, 44) = ( 67 x 44 ) / 2948
GCD(67, 44) = 2948 / 2948
GCD(67, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
GCD of 871, 335, 44, 738 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 335, 44, 738?
GCD of 871, 335, 44, 738 is 1
2. Where do I get the detailed procedure to find GCD of 871, 335, 44, 738?
You can find a detailed procedure to find GCD of 871, 335, 44, 738 on our page.
3. How to find GCD of 871, 335, 44, 738 on a calculator?
You can find the GCD of 871, 335, 44, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.