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 58, 152, 981, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 152, 981, 871 is 1
GCD(58, 152, 981, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 152, 981, 871 is 1
GCD(58, 152, 981, 871) = 1
Given Input numbers are 58, 152, 981, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Greatest Common Divisior
We found the divisors of 58, 152, 981, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 152, 981, 871 is 1.
Therefore, GCD of numbers 58, 152, 981, 871 is 1
Given Input Data is 58, 152, 981, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 871 is 13 x 67
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(58, 152) = 4408
GCD(58, 152) = ( 58 x 152 ) / 4408
GCD(58, 152) = 8816 / 4408
GCD(58, 152) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 981) = 1962
GCD(2, 981) = ( 2 x 981 ) / 1962
GCD(2, 981) = 1962 / 1962
GCD(2, 981) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
GCD of 58, 152, 981, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 152, 981, 871?
GCD of 58, 152, 981, 871 is 1
2. Where do I get the detailed procedure to find GCD of 58, 152, 981, 871?
You can find a detailed procedure to find GCD of 58, 152, 981, 871 on our page.
3. How to find GCD of 58, 152, 981, 871 on a calculator?
You can find the GCD of 58, 152, 981, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.