GCD of 696, 896, 510, 795 Calculator

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

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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.