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 725, 390, 62, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 390, 62, 384 is 1
GCD(725, 390, 62, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 390, 62, 384 is 1
GCD(725, 390, 62, 384) = 1
Given Input numbers are 725, 390, 62, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 725, 390, 62, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 390, 62, 384 is 1.
Therefore, GCD of numbers 725, 390, 62, 384 is 1
Given Input Data is 725, 390, 62, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 62 is 2 x 31
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(725, 390) = 56550
GCD(725, 390) = ( 725 x 390 ) / 56550
GCD(725, 390) = 282750 / 56550
GCD(725, 390) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 62) = 310
GCD(5, 62) = ( 5 x 62 ) / 310
GCD(5, 62) = 310 / 310
GCD(5, 62) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 725, 390, 62, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 390, 62, 384?
GCD of 725, 390, 62, 384 is 1
2. Where do I get the detailed procedure to find GCD of 725, 390, 62, 384?
You can find a detailed procedure to find GCD of 725, 390, 62, 384 on our page.
3. How to find GCD of 725, 390, 62, 384 on a calculator?
You can find the GCD of 725, 390, 62, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.