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, 436, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 345, 436, 855 is 1
GCD(245, 345, 436, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 345, 436, 855 is 1
GCD(245, 345, 436, 855) = 1
Given Input numbers are 245, 345, 436, 855
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 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 245, 345, 436, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 345, 436, 855 is 1.
Therefore, GCD of numbers 245, 345, 436, 855 is 1
Given Input Data is 245, 345, 436, 855
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 436 is 2 x 2 x 109
Prime Factorization of 855 is 3 x 3 x 5 x 19
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 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 436) = 2180
GCD(5, 436) = ( 5 x 436 ) / 2180
GCD(5, 436) = 2180 / 2180
GCD(5, 436) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 245, 345, 436, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 245, 345, 436, 855?
GCD of 245, 345, 436, 855 is 1
2. Where do I get the detailed procedure to find GCD of 245, 345, 436, 855?
You can find a detailed procedure to find GCD of 245, 345, 436, 855 on our page.
3. How to find GCD of 245, 345, 436, 855 on a calculator?
You can find the GCD of 245, 345, 436, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.