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 685, 297, 25, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 685, 297, 25, 319 is 1
GCD(685, 297, 25, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 685, 297, 25, 319 is 1
GCD(685, 297, 25, 319) = 1
Given Input numbers are 685, 297, 25, 319
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 685, 297, 25, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 297, 25, 319 is 1.
Therefore, GCD of numbers 685, 297, 25, 319 is 1
Given Input Data is 685, 297, 25, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 685 is 5 x 137
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 25 is 5 x 5
Prime Factorization of 319 is 11 x 29
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(685, 297) = 203445
GCD(685, 297) = ( 685 x 297 ) / 203445
GCD(685, 297) = 203445 / 203445
GCD(685, 297) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 319) = 319
GCD(1, 319) = ( 1 x 319 ) / 319
GCD(1, 319) = 319 / 319
GCD(1, 319) = 1
GCD of 685, 297, 25, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 685, 297, 25, 319?
GCD of 685, 297, 25, 319 is 1
2. Where do I get the detailed procedure to find GCD of 685, 297, 25, 319?
You can find a detailed procedure to find GCD of 685, 297, 25, 319 on our page.
3. How to find GCD of 685, 297, 25, 319 on a calculator?
You can find the GCD of 685, 297, 25, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.