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 81, 677, 314, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 81, 677, 314, 970 is 1
GCD(81, 677, 314, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 677, 314, 970 is 1
GCD(81, 677, 314, 970) = 1
Given Input numbers are 81, 677, 314, 970
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 81, 677, 314, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 677, 314, 970 is 1.
Therefore, GCD of numbers 81, 677, 314, 970 is 1
Given Input Data is 81, 677, 314, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 677 is 677
Prime Factorization of 314 is 2 x 157
Prime Factorization of 970 is 2 x 5 x 97
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(81, 677) = 54837
GCD(81, 677) = ( 81 x 677 ) / 54837
GCD(81, 677) = 54837 / 54837
GCD(81, 677) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
GCD(1, 970) = 970 / 970
GCD(1, 970) = 1
GCD of 81, 677, 314, 970 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 81, 677, 314, 970?
GCD of 81, 677, 314, 970 is 1
2. Where do I get the detailed procedure to find GCD of 81, 677, 314, 970?
You can find a detailed procedure to find GCD of 81, 677, 314, 970 on our page.
3. How to find GCD of 81, 677, 314, 970 on a calculator?
You can find the GCD of 81, 677, 314, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.