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 279, 587, 69 i.e. 1 largest integer that divides all the numbers equally.
GCD of 279, 587, 69 is 1
GCD(279, 587, 69) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 279, 587, 69 is 1
GCD(279, 587, 69) = 1
Given Input numbers are 279, 587, 69
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Greatest Common Divisior
We found the divisors of 279, 587, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 587, 69 is 1.
Therefore, GCD of numbers 279, 587, 69 is 1
Given Input Data is 279, 587, 69
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 587 is 587
Prime Factorization of 69 is 3 x 23
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(279, 587) = 163773
GCD(279, 587) = ( 279 x 587 ) / 163773
GCD(279, 587) = 163773 / 163773
GCD(279, 587) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
GCD of 279, 587, 69 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 279, 587, 69?
GCD of 279, 587, 69 is 1
2. Where do I get the detailed procedure to find GCD of 279, 587, 69?
You can find a detailed procedure to find GCD of 279, 587, 69 on our page.
3. How to find GCD of 279, 587, 69 on a calculator?
You can find the GCD of 279, 587, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.