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, 725, 386, 506 i.e. 1 largest integer that divides all the numbers equally.
GCD of 707, 725, 386, 506 is 1
GCD(707, 725, 386, 506) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 707, 725, 386, 506 is 1
GCD(707, 725, 386, 506) = 1
Given Input numbers are 707, 725, 386, 506
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 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Greatest Common Divisior
We found the divisors of 707, 725, 386, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 725, 386, 506 is 1.
Therefore, GCD of numbers 707, 725, 386, 506 is 1
Given Input Data is 707, 725, 386, 506
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 707 is 7 x 101
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 386 is 2 x 193
Prime Factorization of 506 is 2 x 11 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(707, 725) = 512575
GCD(707, 725) = ( 707 x 725 ) / 512575
GCD(707, 725) = 512575 / 512575
GCD(707, 725) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
GCD(1, 506) = 506 / 506
GCD(1, 506) = 1
GCD of 707, 725, 386, 506 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 707, 725, 386, 506?
GCD of 707, 725, 386, 506 is 1
2. Where do I get the detailed procedure to find GCD of 707, 725, 386, 506?
You can find a detailed procedure to find GCD of 707, 725, 386, 506 on our page.
3. How to find GCD of 707, 725, 386, 506 on a calculator?
You can find the GCD of 707, 725, 386, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.