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 329, 876, 700, 582 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 876, 700, 582 is 1
GCD(329, 876, 700, 582) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 876, 700, 582 is 1
GCD(329, 876, 700, 582) = 1
Given Input numbers are 329, 876, 700, 582
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Greatest Common Divisior
We found the divisors of 329, 876, 700, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 876, 700, 582 is 1.
Therefore, GCD of numbers 329, 876, 700, 582 is 1
Given Input Data is 329, 876, 700, 582
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 582 is 2 x 3 x 97
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(329, 876) = 288204
GCD(329, 876) = ( 329 x 876 ) / 288204
GCD(329, 876) = 288204 / 288204
GCD(329, 876) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 582) = 582
GCD(1, 582) = ( 1 x 582 ) / 582
GCD(1, 582) = 582 / 582
GCD(1, 582) = 1
GCD of 329, 876, 700, 582 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 876, 700, 582?
GCD of 329, 876, 700, 582 is 1
2. Where do I get the detailed procedure to find GCD of 329, 876, 700, 582?
You can find a detailed procedure to find GCD of 329, 876, 700, 582 on our page.
3. How to find GCD of 329, 876, 700, 582 on a calculator?
You can find the GCD of 329, 876, 700, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.