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 590, 851, 753, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 590, 851, 753, 871 is 1
GCD(590, 851, 753, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 851, 753, 871 is 1
GCD(590, 851, 753, 871) = 1
Given Input numbers are 590, 851, 753, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
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 590, 851, 753, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 851, 753, 871 is 1.
Therefore, GCD of numbers 590, 851, 753, 871 is 1
Given Input Data is 590, 851, 753, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 851 is 23 x 37
Prime Factorization of 753 is 3 x 251
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(590, 851) = 502090
GCD(590, 851) = ( 590 x 851 ) / 502090
GCD(590, 851) = 502090 / 502090
GCD(590, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 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 590, 851, 753, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 851, 753, 871?
GCD of 590, 851, 753, 871 is 1
2. Where do I get the detailed procedure to find GCD of 590, 851, 753, 871?
You can find a detailed procedure to find GCD of 590, 851, 753, 871 on our page.
3. How to find GCD of 590, 851, 753, 871 on a calculator?
You can find the GCD of 590, 851, 753, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.