GCD of 696, 424, 604 Calculator

Given Input numbers are 696, 424, 604

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 696, 424, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 424, 604 is 4.

Therefore, GCD of numbers 696, 424, 604 is 4

Given Input Data is 696, 424, 604

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 424 is 2 x 2 x 2 x 53

Prime Factorization of 604 is 2 x 2 x 151

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 424) = 36888

GCD(696, 424) = ( 696 x 424 ) / 36888

GCD(696, 424) = 295104 / 36888

GCD(696, 424) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 604

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

LCM(8, 604) = 1208

GCD(8, 604) = ( 8 x 604 ) / 1208

GCD(8, 604) = 4832 / 1208

GCD(8, 604) = 4

GCD of 696, 424, 604 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 235, 763
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• GCD of 542, 616, 649
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• GCD of 287, 942, 333

1. What is the GCD of 696, 424, 604?

GCD of 696, 424, 604 is 4

2. Where do I get the detailed procedure to find GCD of 696, 424, 604?

You can find a detailed procedure to find GCD of 696, 424, 604 on our page.

3. How to find GCD of 696, 424, 604 on a calculator?

You can find the GCD of 696, 424, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.