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 245, 345, 295, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 345, 295, 197 is 1
GCD(245, 345, 295, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 345, 295, 197 is 1
GCD(245, 345, 295, 197) = 1
Given Input numbers are 245, 345, 295, 197
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Greatest Common Divisior
We found the divisors of 245, 345, 295, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 345, 295, 197 is 1.
Therefore, GCD of numbers 245, 345, 295, 197 is 1
Given Input Data is 245, 345, 295, 197
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 295 is 5 x 59
Prime Factorization of 197 is 197
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(245, 345) = 16905
GCD(245, 345) = ( 245 x 345 ) / 16905
GCD(245, 345) = 84525 / 16905
GCD(245, 345) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 295) = 295
GCD(5, 295) = ( 5 x 295 ) / 295
GCD(5, 295) = 1475 / 295
GCD(5, 295) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 197) = 985
GCD(5, 197) = ( 5 x 197 ) / 985
GCD(5, 197) = 985 / 985
GCD(5, 197) = 1
GCD of 245, 345, 295, 197 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 245, 345, 295, 197?
GCD of 245, 345, 295, 197 is 1
2. Where do I get the detailed procedure to find GCD of 245, 345, 295, 197?
You can find a detailed procedure to find GCD of 245, 345, 295, 197 on our page.
3. How to find GCD of 245, 345, 295, 197 on a calculator?
You can find the GCD of 245, 345, 295, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.