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, 896, 510, 795 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 896, 510, 795 is 1
GCD(696, 896, 510, 795) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 896, 510, 795 is 1
GCD(696, 896, 510, 795) = 1
Given Input numbers are 696, 896, 510, 795
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 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Greatest Common Divisior
We found the divisors of 696, 896, 510, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 896, 510, 795 is 1.
Therefore, GCD of numbers 696, 896, 510, 795 is 1
Given Input Data is 696, 896, 510, 795
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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 795 is 3 x 5 x 53
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, 896) = 77952
GCD(696, 896) = ( 696 x 896 ) / 77952
GCD(696, 896) = 623616 / 77952
GCD(696, 896) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 510) = 2040
GCD(8, 510) = ( 8 x 510 ) / 2040
GCD(8, 510) = 4080 / 2040
GCD(8, 510) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 795
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 795) = 1590
GCD(2, 795) = ( 2 x 795 ) / 1590
GCD(2, 795) = 1590 / 1590
GCD(2, 795) = 1
GCD of 696, 896, 510, 795 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 896, 510, 795?
GCD of 696, 896, 510, 795 is 1
2. Where do I get the detailed procedure to find GCD of 696, 896, 510, 795?
You can find a detailed procedure to find GCD of 696, 896, 510, 795 on our page.
3. How to find GCD of 696, 896, 510, 795 on a calculator?
You can find the GCD of 696, 896, 510, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.