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 855, 720, 41, 350 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 720, 41, 350 is 1
GCD(855, 720, 41, 350) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 720, 41, 350 is 1
GCD(855, 720, 41, 350) = 1
Given Input numbers are 855, 720, 41, 350
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Greatest Common Divisior
We found the divisors of 855, 720, 41, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 720, 41, 350 is 1.
Therefore, GCD of numbers 855, 720, 41, 350 is 1
Given Input Data is 855, 720, 41, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 41 is 41
Prime Factorization of 350 is 2 x 5 x 5 x 7
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(855, 720) = 13680
GCD(855, 720) = ( 855 x 720 ) / 13680
GCD(855, 720) = 615600 / 13680
GCD(855, 720) = 45
Step2:
Here we consider the GCD from the above i.e. 45 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(45, 41) = 1845
GCD(45, 41) = ( 45 x 41 ) / 1845
GCD(45, 41) = 1845 / 1845
GCD(45, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
GCD(1, 350) = 350 / 350
GCD(1, 350) = 1
GCD of 855, 720, 41, 350 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 720, 41, 350?
GCD of 855, 720, 41, 350 is 1
2. Where do I get the detailed procedure to find GCD of 855, 720, 41, 350?
You can find a detailed procedure to find GCD of 855, 720, 41, 350 on our page.
3. How to find GCD of 855, 720, 41, 350 on a calculator?
You can find the GCD of 855, 720, 41, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.