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 679, 252, 359, 899 i.e. 1 largest integer that divides all the numbers equally.
GCD of 679, 252, 359, 899 is 1
GCD(679, 252, 359, 899) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 679, 252, 359, 899 is 1
GCD(679, 252, 359, 899) = 1
Given Input numbers are 679, 252, 359, 899
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Greatest Common Divisior
We found the divisors of 679, 252, 359, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 252, 359, 899 is 1.
Therefore, GCD of numbers 679, 252, 359, 899 is 1
Given Input Data is 679, 252, 359, 899
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 679 is 7 x 97
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 359 is 359
Prime Factorization of 899 is 29 x 31
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(679, 252) = 24444
GCD(679, 252) = ( 679 x 252 ) / 24444
GCD(679, 252) = 171108 / 24444
GCD(679, 252) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 359) = 2513
GCD(7, 359) = ( 7 x 359 ) / 2513
GCD(7, 359) = 2513 / 2513
GCD(7, 359) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 899) = 899
GCD(1, 899) = ( 1 x 899 ) / 899
GCD(1, 899) = 899 / 899
GCD(1, 899) = 1
GCD of 679, 252, 359, 899 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 679, 252, 359, 899?
GCD of 679, 252, 359, 899 is 1
2. Where do I get the detailed procedure to find GCD of 679, 252, 359, 899?
You can find a detailed procedure to find GCD of 679, 252, 359, 899 on our page.
3. How to find GCD of 679, 252, 359, 899 on a calculator?
You can find the GCD of 679, 252, 359, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.