GCD of 46, 559, 738, 725 Calculator

Given Input numbers are 46, 559, 738, 725

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 46, 559, 738, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 559, 738, 725 is 1.

Therefore, GCD of numbers 46, 559, 738, 725 is 1

Given Input Data is 46, 559, 738, 725

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 559 is 13 x 43

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

Prime Factorization of 725 is 5 x 5 x 29

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(46, 559) = 25714

GCD(46, 559) = ( 46 x 559 ) / 25714

GCD(46, 559) = 25714 / 25714

GCD(46, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 46, 559, 738, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 759, 817, 515
• GCD of 29, 336, 509, 339
• GCD of 36, 723, 187, 967
• GCD of 37, 998, 628, 263
• GCD of 37, 717, 707, 387

1. What is the GCD of 46, 559, 738, 725?

GCD of 46, 559, 738, 725 is 1

2. Where do I get the detailed procedure to find GCD of 46, 559, 738, 725?

You can find a detailed procedure to find GCD of 46, 559, 738, 725 on our page.

3. How to find GCD of 46, 559, 738, 725 on a calculator?

You can find the GCD of 46, 559, 738, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.