GCD of 424, 314, 275, 741 Calculator

Given Input numbers are 424, 314, 275, 741

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

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 424, 314, 275, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 314, 275, 741 is 1.

Therefore, GCD of numbers 424, 314, 275, 741 is 1

Given Input Data is 424, 314, 275, 741

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

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 741 is 3 x 13 x 19

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(424, 314) = 66568

GCD(424, 314) = ( 424 x 314 ) / 66568

GCD(424, 314) = 133136 / 66568

GCD(424, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 275

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

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

GCD(2, 275) = 550 / 550

GCD(2, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 424, 314, 275, 741 is 1

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1. What is the GCD of 424, 314, 275, 741?

GCD of 424, 314, 275, 741 is 1

2. Where do I get the detailed procedure to find GCD of 424, 314, 275, 741?

You can find a detailed procedure to find GCD of 424, 314, 275, 741 on our page.

3. How to find GCD of 424, 314, 275, 741 on a calculator?

You can find the GCD of 424, 314, 275, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.