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 383, 460, 677, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 383, 460, 677, 427 is 1
GCD(383, 460, 677, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 383, 460, 677, 427 is 1
GCD(383, 460, 677, 427) = 1
Given Input numbers are 383, 460, 677, 427
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 383, 460, 677, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 460, 677, 427 is 1.
Therefore, GCD of numbers 383, 460, 677, 427 is 1
Given Input Data is 383, 460, 677, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 383 is 383
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 677 is 677
Prime Factorization of 427 is 7 x 61
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(383, 460) = 176180
GCD(383, 460) = ( 383 x 460 ) / 176180
GCD(383, 460) = 176180 / 176180
GCD(383, 460) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 383, 460, 677, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 383, 460, 677, 427?
GCD of 383, 460, 677, 427 is 1
2. Where do I get the detailed procedure to find GCD of 383, 460, 677, 427?
You can find a detailed procedure to find GCD of 383, 460, 677, 427 on our page.
3. How to find GCD of 383, 460, 677, 427 on a calculator?
You can find the GCD of 383, 460, 677, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.