GCD of 739, 344, 31, 740 Calculator

Given Input numbers are 739, 344, 31, 740

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

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 739, 344, 31, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 344, 31, 740 is 1.

Therefore, GCD of numbers 739, 344, 31, 740 is 1

Given Input Data is 739, 344, 31, 740

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

Prime Factorization of 739 is 739

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 31 is 31

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(739, 344) = 254216

GCD(739, 344) = ( 739 x 344 ) / 254216

GCD(739, 344) = 254216 / 254216

GCD(739, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 739, 344, 31, 740 is 1

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• GCD of 751, 744, 26, 132
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1. What is the GCD of 739, 344, 31, 740?

GCD of 739, 344, 31, 740 is 1

2. Where do I get the detailed procedure to find GCD of 739, 344, 31, 740?

You can find a detailed procedure to find GCD of 739, 344, 31, 740 on our page.

3. How to find GCD of 739, 344, 31, 740 on a calculator?

You can find the GCD of 739, 344, 31, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.