GCD of 824, 474, 424, 739 Calculator

Given Input numbers are 824, 474, 424, 739

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

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

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 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 824, 474, 424, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 474, 424, 739 is 1.

Therefore, GCD of numbers 824, 474, 424, 739 is 1

Given Input Data is 824, 474, 424, 739

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 739 is 739

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(824, 474) = 195288

GCD(824, 474) = ( 824 x 474 ) / 195288

GCD(824, 474) = 390576 / 195288

GCD(824, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 424

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

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

GCD(2, 424) = 848 / 424

GCD(2, 424) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

GCD of 824, 474, 424, 739 is 1

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1. What is the GCD of 824, 474, 424, 739?

GCD of 824, 474, 424, 739 is 1

2. Where do I get the detailed procedure to find GCD of 824, 474, 424, 739?

You can find a detailed procedure to find GCD of 824, 474, 424, 739 on our page.

3. How to find GCD of 824, 474, 424, 739 on a calculator?

You can find the GCD of 824, 474, 424, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.