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 879, 509, 71, 176 i.e. 1 largest integer that divides all the numbers equally.
GCD of 879, 509, 71, 176 is 1
GCD(879, 509, 71, 176) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 879, 509, 71, 176 is 1
GCD(879, 509, 71, 176) = 1
Given Input numbers are 879, 509, 71, 176
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Greatest Common Divisior
We found the divisors of 879, 509, 71, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 509, 71, 176 is 1.
Therefore, GCD of numbers 879, 509, 71, 176 is 1
Given Input Data is 879, 509, 71, 176
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 879 is 3 x 293
Prime Factorization of 509 is 509
Prime Factorization of 71 is 71
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
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(879, 509) = 447411
GCD(879, 509) = ( 879 x 509 ) / 447411
GCD(879, 509) = 447411 / 447411
GCD(879, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
GCD of 879, 509, 71, 176 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 879, 509, 71, 176?
GCD of 879, 509, 71, 176 is 1
2. Where do I get the detailed procedure to find GCD of 879, 509, 71, 176?
You can find a detailed procedure to find GCD of 879, 509, 71, 176 on our page.
3. How to find GCD of 879, 509, 71, 176 on a calculator?
You can find the GCD of 879, 509, 71, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.