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 843, 234, 58, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 234, 58, 160 is 1
GCD(843, 234, 58, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 234, 58, 160 is 1
GCD(843, 234, 58, 160) = 1
Given Input numbers are 843, 234, 58, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 843, 234, 58, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 234, 58, 160 is 1.
Therefore, GCD of numbers 843, 234, 58, 160 is 1
Given Input Data is 843, 234, 58, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 58 is 2 x 29
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(843, 234) = 65754
GCD(843, 234) = ( 843 x 234 ) / 65754
GCD(843, 234) = 197262 / 65754
GCD(843, 234) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 58) = 174
GCD(3, 58) = ( 3 x 58 ) / 174
GCD(3, 58) = 174 / 174
GCD(3, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 843, 234, 58, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 234, 58, 160?
GCD of 843, 234, 58, 160 is 1
2. Where do I get the detailed procedure to find GCD of 843, 234, 58, 160?
You can find a detailed procedure to find GCD of 843, 234, 58, 160 on our page.
3. How to find GCD of 843, 234, 58, 160 on a calculator?
You can find the GCD of 843, 234, 58, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.