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, 564, 121, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 879, 564, 121, 440 is 1
GCD(879, 564, 121, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 879, 564, 121, 440 is 1
GCD(879, 564, 121, 440) = 1
Given Input numbers are 879, 564, 121, 440
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 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 879, 564, 121, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 564, 121, 440 is 1.
Therefore, GCD of numbers 879, 564, 121, 440 is 1
Given Input Data is 879, 564, 121, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 879 is 3 x 293
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 121 is 11 x 11
Prime Factorization of 440 is 2 x 2 x 2 x 5 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, 564) = 165252
GCD(879, 564) = ( 879 x 564 ) / 165252
GCD(879, 564) = 495756 / 165252
GCD(879, 564) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 121) = 363
GCD(3, 121) = ( 3 x 121 ) / 363
GCD(3, 121) = 363 / 363
GCD(3, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 879, 564, 121, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 879, 564, 121, 440?
GCD of 879, 564, 121, 440 is 1
2. Where do I get the detailed procedure to find GCD of 879, 564, 121, 440?
You can find a detailed procedure to find GCD of 879, 564, 121, 440 on our page.
3. How to find GCD of 879, 564, 121, 440 on a calculator?
You can find the GCD of 879, 564, 121, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.