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 832, 276, 69, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 276, 69, 880 is 1
GCD(832, 276, 69, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 276, 69, 880 is 1
GCD(832, 276, 69, 880) = 1
Given Input numbers are 832, 276, 69, 880
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Greatest Common Divisior
We found the divisors of 832, 276, 69, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 276, 69, 880 is 1.
Therefore, GCD of numbers 832, 276, 69, 880 is 1
Given Input Data is 832, 276, 69, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 69 is 3 x 23
Prime Factorization of 880 is 2 x 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(832, 276) = 57408
GCD(832, 276) = ( 832 x 276 ) / 57408
GCD(832, 276) = 229632 / 57408
GCD(832, 276) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 69) = 276
GCD(4, 69) = ( 4 x 69 ) / 276
GCD(4, 69) = 276 / 276
GCD(4, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
GCD(1, 880) = 880 / 880
GCD(1, 880) = 1
GCD of 832, 276, 69, 880 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 276, 69, 880?
GCD of 832, 276, 69, 880 is 1
2. Where do I get the detailed procedure to find GCD of 832, 276, 69, 880?
You can find a detailed procedure to find GCD of 832, 276, 69, 880 on our page.
3. How to find GCD of 832, 276, 69, 880 on a calculator?
You can find the GCD of 832, 276, 69, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.