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 380, 469, 65, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 469, 65, 283 is 1
GCD(380, 469, 65, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 469, 65, 283 is 1
GCD(380, 469, 65, 283) = 1
Given Input numbers are 380, 469, 65, 283
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 380, 469, 65, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 469, 65, 283 is 1.
Therefore, GCD of numbers 380, 469, 65, 283 is 1
Given Input Data is 380, 469, 65, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 469 is 7 x 67
Prime Factorization of 65 is 5 x 13
Prime Factorization of 283 is 283
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(380, 469) = 178220
GCD(380, 469) = ( 380 x 469 ) / 178220
GCD(380, 469) = 178220 / 178220
GCD(380, 469) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 380, 469, 65, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 469, 65, 283?
GCD of 380, 469, 65, 283 is 1
2. Where do I get the detailed procedure to find GCD of 380, 469, 65, 283?
You can find a detailed procedure to find GCD of 380, 469, 65, 283 on our page.
3. How to find GCD of 380, 469, 65, 283 on a calculator?
You can find the GCD of 380, 469, 65, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.