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 283, 175, 46, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 283, 175, 46, 325 is 1
GCD(283, 175, 46, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 283, 175, 46, 325 is 1
GCD(283, 175, 46, 325) = 1
Given Input numbers are 283, 175, 46, 325
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 283, 175, 46, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 175, 46, 325 is 1.
Therefore, GCD of numbers 283, 175, 46, 325 is 1
Given Input Data is 283, 175, 46, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 283 is 283
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 46 is 2 x 23
Prime Factorization of 325 is 5 x 5 x 13
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(283, 175) = 49525
GCD(283, 175) = ( 283 x 175 ) / 49525
GCD(283, 175) = 49525 / 49525
GCD(283, 175) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 325) = 325
GCD(1, 325) = ( 1 x 325 ) / 325
GCD(1, 325) = 325 / 325
GCD(1, 325) = 1
GCD of 283, 175, 46, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 283, 175, 46, 325?
GCD of 283, 175, 46, 325 is 1
2. Where do I get the detailed procedure to find GCD of 283, 175, 46, 325?
You can find a detailed procedure to find GCD of 283, 175, 46, 325 on our page.
3. How to find GCD of 283, 175, 46, 325 on a calculator?
You can find the GCD of 283, 175, 46, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.