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 59, 279, 919, 268 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 279, 919, 268 is 1
GCD(59, 279, 919, 268) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 279, 919, 268 is 1
GCD(59, 279, 919, 268) = 1
Given Input numbers are 59, 279, 919, 268
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Greatest Common Divisior
We found the divisors of 59, 279, 919, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 279, 919, 268 is 1.
Therefore, GCD of numbers 59, 279, 919, 268 is 1
Given Input Data is 59, 279, 919, 268
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 919 is 919
Prime Factorization of 268 is 2 x 2 x 67
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(59, 279) = 16461
GCD(59, 279) = ( 59 x 279 ) / 16461
GCD(59, 279) = 16461 / 16461
GCD(59, 279) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 919
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 919) = 919
GCD(1, 919) = ( 1 x 919 ) / 919
GCD(1, 919) = 919 / 919
GCD(1, 919) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
GCD of 59, 279, 919, 268 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 279, 919, 268?
GCD of 59, 279, 919, 268 is 1
2. Where do I get the detailed procedure to find GCD of 59, 279, 919, 268?
You can find a detailed procedure to find GCD of 59, 279, 919, 268 on our page.
3. How to find GCD of 59, 279, 919, 268 on a calculator?
You can find the GCD of 59, 279, 919, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.