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 977, 892, 47, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 892, 47, 404 is 1
GCD(977, 892, 47, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 892, 47, 404 is 1
GCD(977, 892, 47, 404) = 1
Given Input numbers are 977, 892, 47, 404
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 977, 892, 47, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 892, 47, 404 is 1.
Therefore, GCD of numbers 977, 892, 47, 404 is 1
Given Input Data is 977, 892, 47, 404
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 47 is 47
Prime Factorization of 404 is 2 x 2 x 101
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(977, 892) = 871484
GCD(977, 892) = ( 977 x 892 ) / 871484
GCD(977, 892) = 871484 / 871484
GCD(977, 892) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 977, 892, 47, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 892, 47, 404?
GCD of 977, 892, 47, 404 is 1
2. Where do I get the detailed procedure to find GCD of 977, 892, 47, 404?
You can find a detailed procedure to find GCD of 977, 892, 47, 404 on our page.
3. How to find GCD of 977, 892, 47, 404 on a calculator?
You can find the GCD of 977, 892, 47, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.