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 805, 295, 46, 350 i.e. 1 largest integer that divides all the numbers equally.
GCD of 805, 295, 46, 350 is 1
GCD(805, 295, 46, 350) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 805, 295, 46, 350 is 1
GCD(805, 295, 46, 350) = 1
Given Input numbers are 805, 295, 46, 350
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
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 805, 295, 46, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 295, 46, 350 is 1.
Therefore, GCD of numbers 805, 295, 46, 350 is 1
Given Input Data is 805, 295, 46, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 295 is 5 x 59
Prime Factorization of 46 is 2 x 23
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(805, 295) = 47495
GCD(805, 295) = ( 805 x 295 ) / 47495
GCD(805, 295) = 237475 / 47495
GCD(805, 295) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 46) = 230
GCD(5, 46) = ( 5 x 46 ) / 230
GCD(5, 46) = 230 / 230
GCD(5, 46) = 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 805, 295, 46, 350 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 805, 295, 46, 350?
GCD of 805, 295, 46, 350 is 1
2. Where do I get the detailed procedure to find GCD of 805, 295, 46, 350?
You can find a detailed procedure to find GCD of 805, 295, 46, 350 on our page.
3. How to find GCD of 805, 295, 46, 350 on a calculator?
You can find the GCD of 805, 295, 46, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.