GCD of 707, 413, 895, 744 Calculator

Given Input numbers are 707, 413, 895, 744

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

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

Greatest Common Divisior

We found the divisors of 707, 413, 895, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 413, 895, 744 is 1.

Therefore, GCD of numbers 707, 413, 895, 744 is 1

Given Input Data is 707, 413, 895, 744

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 413 is 7 x 59

Prime Factorization of 895 is 5 x 179

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

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(707, 413) = 41713

GCD(707, 413) = ( 707 x 413 ) / 41713

GCD(707, 413) = 291991 / 41713

GCD(707, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 895

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

LCM(7, 895) = 6265

GCD(7, 895) = ( 7 x 895 ) / 6265

GCD(7, 895) = 6265 / 6265

GCD(7, 895) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 707, 413, 895, 744 is 1

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1. What is the GCD of 707, 413, 895, 744?

GCD of 707, 413, 895, 744 is 1

2. Where do I get the detailed procedure to find GCD of 707, 413, 895, 744?

You can find a detailed procedure to find GCD of 707, 413, 895, 744 on our page.

3. How to find GCD of 707, 413, 895, 744 on a calculator?

You can find the GCD of 707, 413, 895, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.