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 835, 177, 58, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 835, 177, 58, 107 is 1
GCD(835, 177, 58, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 835, 177, 58, 107 is 1
GCD(835, 177, 58, 107) = 1
Given Input numbers are 835, 177, 58, 107
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 835, 177, 58, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 177, 58, 107 is 1.
Therefore, GCD of numbers 835, 177, 58, 107 is 1
Given Input Data is 835, 177, 58, 107
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 835 is 5 x 167
Prime Factorization of 177 is 3 x 59
Prime Factorization of 58 is 2 x 29
Prime Factorization of 107 is 107
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(835, 177) = 147795
GCD(835, 177) = ( 835 x 177 ) / 147795
GCD(835, 177) = 147795 / 147795
GCD(835, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
GCD of 835, 177, 58, 107 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 835, 177, 58, 107?
GCD of 835, 177, 58, 107 is 1
2. Where do I get the detailed procedure to find GCD of 835, 177, 58, 107?
You can find a detailed procedure to find GCD of 835, 177, 58, 107 on our page.
3. How to find GCD of 835, 177, 58, 107 on a calculator?
You can find the GCD of 835, 177, 58, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.