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, 520, 621, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 325, 520, 621, 734 is 1
GCD(325, 520, 621, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 520, 621, 734 is 1
GCD(325, 520, 621, 734) = 1
Given Input numbers are 325, 520, 621, 734
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 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 325, 520, 621, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 520, 621, 734 is 1.
Therefore, GCD of numbers 325, 520, 621, 734 is 1
Given Input Data is 325, 520, 621, 734
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 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 734 is 2 x 367
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, 520) = 2600
GCD(325, 520) = ( 325 x 520 ) / 2600
GCD(325, 520) = 169000 / 2600
GCD(325, 520) = 65
Step2:
Here we consider the GCD from the above i.e. 65 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(65, 621) = 40365
GCD(65, 621) = ( 65 x 621 ) / 40365
GCD(65, 621) = 40365 / 40365
GCD(65, 621) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
GCD of 325, 520, 621, 734 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 520, 621, 734?
GCD of 325, 520, 621, 734 is 1
2. Where do I get the detailed procedure to find GCD of 325, 520, 621, 734?
You can find a detailed procedure to find GCD of 325, 520, 621, 734 on our page.
3. How to find GCD of 325, 520, 621, 734 on a calculator?
You can find the GCD of 325, 520, 621, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.