GCD of 674, 642, 493, 448 Calculator

Given Input numbers are 674, 642, 493, 448

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 674, 642, 493, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 642, 493, 448 is 1.

Therefore, GCD of numbers 674, 642, 493, 448 is 1

Given Input Data is 674, 642, 493, 448

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 493 is 17 x 29

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(674, 642) = 216354

GCD(674, 642) = ( 674 x 642 ) / 216354

GCD(674, 642) = 432708 / 216354

GCD(674, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 493

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

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

GCD(2, 493) = 986 / 986

GCD(2, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 674, 642, 493, 448 is 1

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1. What is the GCD of 674, 642, 493, 448?

GCD of 674, 642, 493, 448 is 1

2. Where do I get the detailed procedure to find GCD of 674, 642, 493, 448?

You can find a detailed procedure to find GCD of 674, 642, 493, 448 on our page.

3. How to find GCD of 674, 642, 493, 448 on a calculator?

You can find the GCD of 674, 642, 493, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.