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, 321, 145, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 283, 321, 145, 742 is 1
GCD(283, 321, 145, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 283, 321, 145, 742 is 1
GCD(283, 321, 145, 742) = 1
Given Input numbers are 283, 321, 145, 742
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 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 283, 321, 145, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 321, 145, 742 is 1.
Therefore, GCD of numbers 283, 321, 145, 742 is 1
Given Input Data is 283, 321, 145, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 283 is 283
Prime Factorization of 321 is 3 x 107
Prime Factorization of 145 is 5 x 29
Prime Factorization of 742 is 2 x 7 x 53
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, 321) = 90843
GCD(283, 321) = ( 283 x 321 ) / 90843
GCD(283, 321) = 90843 / 90843
GCD(283, 321) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
GCD of 283, 321, 145, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 283, 321, 145, 742?
GCD of 283, 321, 145, 742 is 1
2. Where do I get the detailed procedure to find GCD of 283, 321, 145, 742?
You can find a detailed procedure to find GCD of 283, 321, 145, 742 on our page.
3. How to find GCD of 283, 321, 145, 742 on a calculator?
You can find the GCD of 283, 321, 145, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.