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 987, 712, 917, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 712, 917, 251 is 1
GCD(987, 712, 917, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 712, 917, 251 is 1
GCD(987, 712, 917, 251) = 1
Given Input numbers are 987, 712, 917, 251
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 987, 712, 917, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 712, 917, 251 is 1.
Therefore, GCD of numbers 987, 712, 917, 251 is 1
Given Input Data is 987, 712, 917, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 917 is 7 x 131
Prime Factorization of 251 is 251
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(987, 712) = 702744
GCD(987, 712) = ( 987 x 712 ) / 702744
GCD(987, 712) = 702744 / 702744
GCD(987, 712) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 251) = 251
GCD(1, 251) = ( 1 x 251 ) / 251
GCD(1, 251) = 251 / 251
GCD(1, 251) = 1
GCD of 987, 712, 917, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 712, 917, 251?
GCD of 987, 712, 917, 251 is 1
2. Where do I get the detailed procedure to find GCD of 987, 712, 917, 251?
You can find a detailed procedure to find GCD of 987, 712, 917, 251 on our page.
3. How to find GCD of 987, 712, 917, 251 on a calculator?
You can find the GCD of 987, 712, 917, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.