GCD of 696, 824, 46, 722 Calculator

Given Input numbers are 696, 824, 46, 722

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 696, 824, 46, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 824, 46, 722 is 2.

Therefore, GCD of numbers 696, 824, 46, 722 is 2

Given Input Data is 696, 824, 46, 722

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 46 is 2 x 23

Prime Factorization of 722 is 2 x 19 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 824) = 71688

GCD(696, 824) = ( 696 x 824 ) / 71688

GCD(696, 824) = 573504 / 71688

GCD(696, 824) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 46

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 46) = 184

GCD(8, 46) = ( 8 x 46 ) / 184

GCD(8, 46) = 368 / 184

GCD(8, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

GCD of 696, 824, 46, 722 is 2

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1. What is the GCD of 696, 824, 46, 722?

GCD of 696, 824, 46, 722 is 2

2. Where do I get the detailed procedure to find GCD of 696, 824, 46, 722?

You can find a detailed procedure to find GCD of 696, 824, 46, 722 on our page.

3. How to find GCD of 696, 824, 46, 722 on a calculator?

You can find the GCD of 696, 824, 46, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.