GCD of 738, 683, 582, 910 Calculator

Given Input numbers are 738, 683, 582, 910

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 738, 683, 582, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 683, 582, 910 is 1.

Therefore, GCD of numbers 738, 683, 582, 910 is 1

Given Input Data is 738, 683, 582, 910

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 683 is 683

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 910 is 2 x 5 x 7 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(738, 683) = 504054

GCD(738, 683) = ( 738 x 683 ) / 504054

GCD(738, 683) = 504054 / 504054

GCD(738, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 910

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

LCM(1, 910) = 910

GCD(1, 910) = ( 1 x 910 ) / 910

GCD(1, 910) = 910 / 910

GCD(1, 910) = 1

GCD of 738, 683, 582, 910 is 1

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1. What is the GCD of 738, 683, 582, 910?

GCD of 738, 683, 582, 910 is 1

2. Where do I get the detailed procedure to find GCD of 738, 683, 582, 910?

You can find a detailed procedure to find GCD of 738, 683, 582, 910 on our page.

3. How to find GCD of 738, 683, 582, 910 on a calculator?

You can find the GCD of 738, 683, 582, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.