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, 960, 729, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 960, 729, 401 is 1
GCD(977, 960, 729, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 960, 729, 401 is 1
GCD(977, 960, 729, 401) = 1
Given Input numbers are 977, 960, 729, 401
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 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Greatest Common Divisior
We found the divisors of 977, 960, 729, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 960, 729, 401 is 1.
Therefore, GCD of numbers 977, 960, 729, 401 is 1
Given Input Data is 977, 960, 729, 401
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 401 is 401
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, 960) = 937920
GCD(977, 960) = ( 977 x 960 ) / 937920
GCD(977, 960) = 937920 / 937920
GCD(977, 960) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 401) = 401
GCD(1, 401) = ( 1 x 401 ) / 401
GCD(1, 401) = 401 / 401
GCD(1, 401) = 1
GCD of 977, 960, 729, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 960, 729, 401?
GCD of 977, 960, 729, 401 is 1
2. Where do I get the detailed procedure to find GCD of 977, 960, 729, 401?
You can find a detailed procedure to find GCD of 977, 960, 729, 401 on our page.
3. How to find GCD of 977, 960, 729, 401 on a calculator?
You can find the GCD of 977, 960, 729, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.