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 985, 871, 290, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 985, 871, 290, 970 is 1
GCD(985, 871, 290, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 985, 871, 290, 970 is 1
GCD(985, 871, 290, 970) = 1
Given Input numbers are 985, 871, 290, 970
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 985, 871, 290, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 871, 290, 970 is 1.
Therefore, GCD of numbers 985, 871, 290, 970 is 1
Given Input Data is 985, 871, 290, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 985 is 5 x 197
Prime Factorization of 871 is 13 x 67
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 970 is 2 x 5 x 97
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(985, 871) = 857935
GCD(985, 871) = ( 985 x 871 ) / 857935
GCD(985, 871) = 857935 / 857935
GCD(985, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
GCD(1, 290) = 290 / 290
GCD(1, 290) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
GCD(1, 970) = 970 / 970
GCD(1, 970) = 1
GCD of 985, 871, 290, 970 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 985, 871, 290, 970?
GCD of 985, 871, 290, 970 is 1
2. Where do I get the detailed procedure to find GCD of 985, 871, 290, 970?
You can find a detailed procedure to find GCD of 985, 871, 290, 970 on our page.
3. How to find GCD of 985, 871, 290, 970 on a calculator?
You can find the GCD of 985, 871, 290, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.