GCD of 736, 105, 71, 351 Calculator

Given Input numbers are 736, 105, 71, 351

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 351

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

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

Greatest Common Divisior

We found the divisors of 736, 105, 71, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 105, 71, 351 is 1.

Therefore, GCD of numbers 736, 105, 71, 351 is 1

Given Input Data is 736, 105, 71, 351

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 71 is 71

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

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(736, 105) = 77280

GCD(736, 105) = ( 736 x 105 ) / 77280

GCD(736, 105) = 77280 / 77280

GCD(736, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 736, 105, 71, 351 is 1

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1. What is the GCD of 736, 105, 71, 351?

GCD of 736, 105, 71, 351 is 1

2. Where do I get the detailed procedure to find GCD of 736, 105, 71, 351?

You can find a detailed procedure to find GCD of 736, 105, 71, 351 on our page.

3. How to find GCD of 736, 105, 71, 351 on a calculator?

You can find the GCD of 736, 105, 71, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.