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 845, 238, 971, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 238, 971, 987 is 1
GCD(845, 238, 971, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 238, 971, 987 is 1
GCD(845, 238, 971, 987) = 1
Given Input numbers are 845, 238, 971, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 845, 238, 971, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 238, 971, 987 is 1.
Therefore, GCD of numbers 845, 238, 971, 987 is 1
Given Input Data is 845, 238, 971, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 971 is 971
Prime Factorization of 987 is 3 x 7 x 47
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(845, 238) = 201110
GCD(845, 238) = ( 845 x 238 ) / 201110
GCD(845, 238) = 201110 / 201110
GCD(845, 238) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 845, 238, 971, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 238, 971, 987?
GCD of 845, 238, 971, 987 is 1
2. Where do I get the detailed procedure to find GCD of 845, 238, 971, 987?
You can find a detailed procedure to find GCD of 845, 238, 971, 987 on our page.
3. How to find GCD of 845, 238, 971, 987 on a calculator?
You can find the GCD of 845, 238, 971, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.