GCD of 638, 676, 96, 741 Calculator

Given Input numbers are 638, 676, 96, 741

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 638, 676, 96, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 676, 96, 741 is 1.

Therefore, GCD of numbers 638, 676, 96, 741 is 1

Given Input Data is 638, 676, 96, 741

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(638, 676) = 215644

GCD(638, 676) = ( 638 x 676 ) / 215644

GCD(638, 676) = 431288 / 215644

GCD(638, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 741

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

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

GCD(2, 741) = 1482 / 1482

GCD(2, 741) = 1

GCD of 638, 676, 96, 741 is 1

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1. What is the GCD of 638, 676, 96, 741?

GCD of 638, 676, 96, 741 is 1

2. Where do I get the detailed procedure to find GCD of 638, 676, 96, 741?

You can find a detailed procedure to find GCD of 638, 676, 96, 741 on our page.

3. How to find GCD of 638, 676, 96, 741 on a calculator?

You can find the GCD of 638, 676, 96, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.