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 25, 740, 363, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 740, 363, 763 is 1
GCD(25, 740, 363, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 740, 363, 763 is 1
GCD(25, 740, 363, 763) = 1
Given Input numbers are 25, 740, 363, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 25, 740, 363, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 740, 363, 763 is 1.
Therefore, GCD of numbers 25, 740, 363, 763 is 1
Given Input Data is 25, 740, 363, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 763 is 7 x 109
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(25, 740) = 3700
GCD(25, 740) = ( 25 x 740 ) / 3700
GCD(25, 740) = 18500 / 3700
GCD(25, 740) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 363) = 1815
GCD(5, 363) = ( 5 x 363 ) / 1815
GCD(5, 363) = 1815 / 1815
GCD(5, 363) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
GCD of 25, 740, 363, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 740, 363, 763?
GCD of 25, 740, 363, 763 is 1
2. Where do I get the detailed procedure to find GCD of 25, 740, 363, 763?
You can find a detailed procedure to find GCD of 25, 740, 363, 763 on our page.
3. How to find GCD of 25, 740, 363, 763 on a calculator?
You can find the GCD of 25, 740, 363, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.