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 352, 295, 845, 112 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 295, 845, 112 is 1
GCD(352, 295, 845, 112) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 295, 845, 112 is 1
GCD(352, 295, 845, 112) = 1
Given Input numbers are 352, 295, 845, 112
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greatest Common Divisior
We found the divisors of 352, 295, 845, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 295, 845, 112 is 1.
Therefore, GCD of numbers 352, 295, 845, 112 is 1
Given Input Data is 352, 295, 845, 112
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 295 is 5 x 59
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 112 is 2 x 2 x 2 x 2 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(352, 295) = 103840
GCD(352, 295) = ( 352 x 295 ) / 103840
GCD(352, 295) = 103840 / 103840
GCD(352, 295) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 845) = 845
GCD(1, 845) = ( 1 x 845 ) / 845
GCD(1, 845) = 845 / 845
GCD(1, 845) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
GCD of 352, 295, 845, 112 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 295, 845, 112?
GCD of 352, 295, 845, 112 is 1
2. Where do I get the detailed procedure to find GCD of 352, 295, 845, 112?
You can find a detailed procedure to find GCD of 352, 295, 845, 112 on our page.
3. How to find GCD of 352, 295, 845, 112 on a calculator?
You can find the GCD of 352, 295, 845, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.