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 14, 58, 87 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 58, 87 is 1
GCD(14, 58, 87) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 58, 87 is 1
GCD(14, 58, 87) = 1
Given Input numbers are 14, 58, 87
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Greatest Common Divisior
We found the divisors of 14, 58, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 58, 87 is 1.
Therefore, GCD of numbers 14, 58, 87 is 1
Given Input Data is 14, 58, 87
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 58 is 2 x 29
Prime Factorization of 87 is 3 x 29
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(14, 58) = 406
GCD(14, 58) = ( 14 x 58 ) / 406
GCD(14, 58) = 812 / 406
GCD(14, 58) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
GCD of 14, 58, 87 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 58, 87?
GCD of 14, 58, 87 is 1
2. Where do I get the detailed procedure to find GCD of 14, 58, 87?
You can find a detailed procedure to find GCD of 14, 58, 87 on our page.
3. How to find GCD of 14, 58, 87 on a calculator?
You can find the GCD of 14, 58, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.