GCD of 787, 351, 41, 748 Calculator

Given Input numbers are 787, 351, 41, 748

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

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 787, 351, 41, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 351, 41, 748 is 1.

Therefore, GCD of numbers 787, 351, 41, 748 is 1

Given Input Data is 787, 351, 41, 748

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

Prime Factorization of 787 is 787

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 41 is 41

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(787, 351) = 276237

GCD(787, 351) = ( 787 x 351 ) / 276237

GCD(787, 351) = 276237 / 276237

GCD(787, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 787, 351, 41, 748 is 1

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1. What is the GCD of 787, 351, 41, 748?

GCD of 787, 351, 41, 748 is 1

2. Where do I get the detailed procedure to find GCD of 787, 351, 41, 748?

You can find a detailed procedure to find GCD of 787, 351, 41, 748 on our page.

3. How to find GCD of 787, 351, 41, 748 on a calculator?

You can find the GCD of 787, 351, 41, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.