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, 653, 302, 383 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 653, 302, 383 is 1
GCD(25, 653, 302, 383) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 653, 302, 383 is 1
GCD(25, 653, 302, 383) = 1
Given Input numbers are 25, 653, 302, 383
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 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Greatest Common Divisior
We found the divisors of 25, 653, 302, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 653, 302, 383 is 1.
Therefore, GCD of numbers 25, 653, 302, 383 is 1
Given Input Data is 25, 653, 302, 383
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 653 is 653
Prime Factorization of 302 is 2 x 151
Prime Factorization of 383 is 383
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, 653) = 16325
GCD(25, 653) = ( 25 x 653 ) / 16325
GCD(25, 653) = 16325 / 16325
GCD(25, 653) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
GCD of 25, 653, 302, 383 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 653, 302, 383?
GCD of 25, 653, 302, 383 is 1
2. Where do I get the detailed procedure to find GCD of 25, 653, 302, 383?
You can find a detailed procedure to find GCD of 25, 653, 302, 383 on our page.
3. How to find GCD of 25, 653, 302, 383 on a calculator?
You can find the GCD of 25, 653, 302, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.