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 976, 587, 14 i.e. 1 largest integer that divides all the numbers equally.
GCD of 976, 587, 14 is 1
GCD(976, 587, 14) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 587, 14 is 1
GCD(976, 587, 14) = 1
Given Input numbers are 976, 587, 14
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Greatest Common Divisior
We found the divisors of 976, 587, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 587, 14 is 1.
Therefore, GCD of numbers 976, 587, 14 is 1
Given Input Data is 976, 587, 14
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 587 is 587
Prime Factorization of 14 is 2 x 7
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(976, 587) = 572912
GCD(976, 587) = ( 976 x 587 ) / 572912
GCD(976, 587) = 572912 / 572912
GCD(976, 587) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
GCD of 976, 587, 14 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 587, 14?
GCD of 976, 587, 14 is 1
2. Where do I get the detailed procedure to find GCD of 976, 587, 14?
You can find a detailed procedure to find GCD of 976, 587, 14 on our page.
3. How to find GCD of 976, 587, 14 on a calculator?
You can find the GCD of 976, 587, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.