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 928, 977, 676, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 928, 977, 676, 304 is 1
GCD(928, 977, 676, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 928, 977, 676, 304 is 1
GCD(928, 977, 676, 304) = 1
Given Input numbers are 928, 977, 676, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 928, 977, 676, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 977, 676, 304 is 1.
Therefore, GCD of numbers 928, 977, 676, 304 is 1
Given Input Data is 928, 977, 676, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 977 is 977
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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(928, 977) = 906656
GCD(928, 977) = ( 928 x 977 ) / 906656
GCD(928, 977) = 906656 / 906656
GCD(928, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 928, 977, 676, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 928, 977, 676, 304?
GCD of 928, 977, 676, 304 is 1
2. Where do I get the detailed procedure to find GCD of 928, 977, 676, 304?
You can find a detailed procedure to find GCD of 928, 977, 676, 304 on our page.
3. How to find GCD of 928, 977, 676, 304 on a calculator?
You can find the GCD of 928, 977, 676, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.