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 325, 351, 76, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 325, 351, 76, 820 is 1
GCD(325, 351, 76, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 351, 76, 820 is 1
GCD(325, 351, 76, 820) = 1
Given Input numbers are 325, 351, 76, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 325, 351, 76, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 351, 76, 820 is 1.
Therefore, GCD of numbers 325, 351, 76, 820 is 1
Given Input Data is 325, 351, 76, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(325, 351) = 8775
GCD(325, 351) = ( 325 x 351 ) / 8775
GCD(325, 351) = 114075 / 8775
GCD(325, 351) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 76) = 988
GCD(13, 76) = ( 13 x 76 ) / 988
GCD(13, 76) = 988 / 988
GCD(13, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 325, 351, 76, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 351, 76, 820?
GCD of 325, 351, 76, 820 is 1
2. Where do I get the detailed procedure to find GCD of 325, 351, 76, 820?
You can find a detailed procedure to find GCD of 325, 351, 76, 820 on our page.
3. How to find GCD of 325, 351, 76, 820 on a calculator?
You can find the GCD of 325, 351, 76, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.