GCD of 932, 426, 644, 696 Calculator

Given Input numbers are 932, 426, 644, 696

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

Greatest Common Divisior

We found the divisors of 932, 426, 644, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 426, 644, 696 is 2.

Therefore, GCD of numbers 932, 426, 644, 696 is 2

Given Input Data is 932, 426, 644, 696

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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(932, 426) = 198516

GCD(932, 426) = ( 932 x 426 ) / 198516

GCD(932, 426) = 397032 / 198516

GCD(932, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 932, 426, 644, 696 is 2

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1. What is the GCD of 932, 426, 644, 696?

GCD of 932, 426, 644, 696 is 2

2. Where do I get the detailed procedure to find GCD of 932, 426, 644, 696?

You can find a detailed procedure to find GCD of 932, 426, 644, 696 on our page.

3. How to find GCD of 932, 426, 644, 696 on a calculator?

You can find the GCD of 932, 426, 644, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.