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 696, 645, 47, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 645, 47, 779 is 1
GCD(696, 645, 47, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 645, 47, 779 is 1
GCD(696, 645, 47, 779) = 1
Given Input numbers are 696, 645, 47, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 696, 645, 47, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 645, 47, 779 is 1.
Therefore, GCD of numbers 696, 645, 47, 779 is 1
Given Input Data is 696, 645, 47, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 47 is 47
Prime Factorization of 779 is 19 x 41
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(696, 645) = 149640
GCD(696, 645) = ( 696 x 645 ) / 149640
GCD(696, 645) = 448920 / 149640
GCD(696, 645) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 47) = 141
GCD(3, 47) = ( 3 x 47 ) / 141
GCD(3, 47) = 141 / 141
GCD(3, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 696, 645, 47, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 645, 47, 779?
GCD of 696, 645, 47, 779 is 1
2. Where do I get the detailed procedure to find GCD of 696, 645, 47, 779?
You can find a detailed procedure to find GCD of 696, 645, 47, 779 on our page.
3. How to find GCD of 696, 645, 47, 779 on a calculator?
You can find the GCD of 696, 645, 47, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.