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 677, 794, 316, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 794, 316, 465 is 1
GCD(677, 794, 316, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 794, 316, 465 is 1
GCD(677, 794, 316, 465) = 1
Given Input numbers are 677, 794, 316, 465
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 677, 794, 316, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 794, 316, 465 is 1.
Therefore, GCD of numbers 677, 794, 316, 465 is 1
Given Input Data is 677, 794, 316, 465
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 794 is 2 x 397
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 465 is 3 x 5 x 31
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(677, 794) = 537538
GCD(677, 794) = ( 677 x 794 ) / 537538
GCD(677, 794) = 537538 / 537538
GCD(677, 794) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
GCD(1, 465) = 465 / 465
GCD(1, 465) = 1
GCD of 677, 794, 316, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 794, 316, 465?
GCD of 677, 794, 316, 465 is 1
2. Where do I get the detailed procedure to find GCD of 677, 794, 316, 465?
You can find a detailed procedure to find GCD of 677, 794, 316, 465 on our page.
3. How to find GCD of 677, 794, 316, 465 on a calculator?
You can find the GCD of 677, 794, 316, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.