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 880, 329, 292, 784 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 329, 292, 784 is 1
GCD(880, 329, 292, 784) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 329, 292, 784 is 1
GCD(880, 329, 292, 784) = 1
Given Input numbers are 880, 329, 292, 784
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Greatest Common Divisior
We found the divisors of 880, 329, 292, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 329, 292, 784 is 1.
Therefore, GCD of numbers 880, 329, 292, 784 is 1
Given Input Data is 880, 329, 292, 784
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 329 is 7 x 47
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
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(880, 329) = 289520
GCD(880, 329) = ( 880 x 329 ) / 289520
GCD(880, 329) = 289520 / 289520
GCD(880, 329) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
GCD of 880, 329, 292, 784 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 329, 292, 784?
GCD of 880, 329, 292, 784 is 1
2. Where do I get the detailed procedure to find GCD of 880, 329, 292, 784?
You can find a detailed procedure to find GCD of 880, 329, 292, 784 on our page.
3. How to find GCD of 880, 329, 292, 784 on a calculator?
You can find the GCD of 880, 329, 292, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.