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 471, 977, 17, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 977, 17, 676 is 1
GCD(471, 977, 17, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 977, 17, 676 is 1
GCD(471, 977, 17, 676) = 1
Given Input numbers are 471, 977, 17, 676
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
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
Greatest Common Divisior
We found the divisors of 471, 977, 17, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 977, 17, 676 is 1.
Therefore, GCD of numbers 471, 977, 17, 676 is 1
Given Input Data is 471, 977, 17, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 977 is 977
Prime Factorization of 17 is 17
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(471, 977) = 460167
GCD(471, 977) = ( 471 x 977 ) / 460167
GCD(471, 977) = 460167 / 460167
GCD(471, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
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
GCD of 471, 977, 17, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 977, 17, 676?
GCD of 471, 977, 17, 676 is 1
2. Where do I get the detailed procedure to find GCD of 471, 977, 17, 676?
You can find a detailed procedure to find GCD of 471, 977, 17, 676 on our page.
3. How to find GCD of 471, 977, 17, 676 on a calculator?
You can find the GCD of 471, 977, 17, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.