GCD of 416, 744, 838, 907 Calculator

Given Input numbers are 416, 744, 838, 907

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Greatest Common Divisior

We found the divisors of 416, 744, 838, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 744, 838, 907 is 1.

Therefore, GCD of numbers 416, 744, 838, 907 is 1

Given Input Data is 416, 744, 838, 907

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 838 is 2 x 419

Prime Factorization of 907 is 907

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(416, 744) = 38688

GCD(416, 744) = ( 416 x 744 ) / 38688

GCD(416, 744) = 309504 / 38688

GCD(416, 744) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 838

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

LCM(8, 838) = 3352

GCD(8, 838) = ( 8 x 838 ) / 3352

GCD(8, 838) = 6704 / 3352

GCD(8, 838) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 907

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

LCM(2, 907) = 1814

GCD(2, 907) = ( 2 x 907 ) / 1814

GCD(2, 907) = 1814 / 1814

GCD(2, 907) = 1

GCD of 416, 744, 838, 907 is 1

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1. What is the GCD of 416, 744, 838, 907?

GCD of 416, 744, 838, 907 is 1

2. Where do I get the detailed procedure to find GCD of 416, 744, 838, 907?

You can find a detailed procedure to find GCD of 416, 744, 838, 907 on our page.

3. How to find GCD of 416, 744, 838, 907 on a calculator?

You can find the GCD of 416, 744, 838, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.