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 328, 700, 425, 805 i.e. 1 largest integer that divides all the numbers equally.
GCD of 328, 700, 425, 805 is 1
GCD(328, 700, 425, 805) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 700, 425, 805 is 1
GCD(328, 700, 425, 805) = 1
Given Input numbers are 328, 700, 425, 805
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
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 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Greatest Common Divisior
We found the divisors of 328, 700, 425, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 700, 425, 805 is 1.
Therefore, GCD of numbers 328, 700, 425, 805 is 1
Given Input Data is 328, 700, 425, 805
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 805 is 5 x 7 x 23
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(328, 700) = 57400
GCD(328, 700) = ( 328 x 700 ) / 57400
GCD(328, 700) = 229600 / 57400
GCD(328, 700) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 425) = 1700
GCD(4, 425) = ( 4 x 425 ) / 1700
GCD(4, 425) = 1700 / 1700
GCD(4, 425) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 805) = 805
GCD(1, 805) = ( 1 x 805 ) / 805
GCD(1, 805) = 805 / 805
GCD(1, 805) = 1
GCD of 328, 700, 425, 805 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 700, 425, 805?
GCD of 328, 700, 425, 805 is 1
2. Where do I get the detailed procedure to find GCD of 328, 700, 425, 805?
You can find a detailed procedure to find GCD of 328, 700, 425, 805 on our page.
3. How to find GCD of 328, 700, 425, 805 on a calculator?
You can find the GCD of 328, 700, 425, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.