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 707, 825, 390, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 707, 825, 390, 555 is 1
GCD(707, 825, 390, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 707, 825, 390, 555 is 1
GCD(707, 825, 390, 555) = 1
Given Input numbers are 707, 825, 390, 555
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
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 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 707, 825, 390, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 825, 390, 555 is 1.
Therefore, GCD of numbers 707, 825, 390, 555 is 1
Given Input Data is 707, 825, 390, 555
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 707 is 7 x 101
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 555 is 3 x 5 x 37
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(707, 825) = 583275
GCD(707, 825) = ( 707 x 825 ) / 583275
GCD(707, 825) = 583275 / 583275
GCD(707, 825) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 555) = 555
GCD(1, 555) = ( 1 x 555 ) / 555
GCD(1, 555) = 555 / 555
GCD(1, 555) = 1
GCD of 707, 825, 390, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 707, 825, 390, 555?
GCD of 707, 825, 390, 555 is 1
2. Where do I get the detailed procedure to find GCD of 707, 825, 390, 555?
You can find a detailed procedure to find GCD of 707, 825, 390, 555 on our page.
3. How to find GCD of 707, 825, 390, 555 on a calculator?
You can find the GCD of 707, 825, 390, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.