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 424, 230, 364, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 230, 364, 977 is 1
GCD(424, 230, 364, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 230, 364, 977 is 1
GCD(424, 230, 364, 977) = 1
Given Input numbers are 424, 230, 364, 977
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Greatest Common Divisior
We found the divisors of 424, 230, 364, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 230, 364, 977 is 1.
Therefore, GCD of numbers 424, 230, 364, 977 is 1
Given Input Data is 424, 230, 364, 977
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 977 is 977
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(424, 230) = 48760
GCD(424, 230) = ( 424 x 230 ) / 48760
GCD(424, 230) = 97520 / 48760
GCD(424, 230) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
GCD(2, 364) = 728 / 364
GCD(2, 364) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 977) = 1954
GCD(2, 977) = ( 2 x 977 ) / 1954
GCD(2, 977) = 1954 / 1954
GCD(2, 977) = 1
GCD of 424, 230, 364, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 230, 364, 977?
GCD of 424, 230, 364, 977 is 1
2. Where do I get the detailed procedure to find GCD of 424, 230, 364, 977?
You can find a detailed procedure to find GCD of 424, 230, 364, 977 on our page.
3. How to find GCD of 424, 230, 364, 977 on a calculator?
You can find the GCD of 424, 230, 364, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.