GCD of 740, 449, 77, 731 Calculator

Given Input numbers are 740, 449, 77, 731

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

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 740, 449, 77, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 449, 77, 731 is 1.

Therefore, GCD of numbers 740, 449, 77, 731 is 1

Given Input Data is 740, 449, 77, 731

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

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

Prime Factorization of 449 is 449

Prime Factorization of 77 is 7 x 11

Prime Factorization of 731 is 17 x 43

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(740, 449) = 332260

GCD(740, 449) = ( 740 x 449 ) / 332260

GCD(740, 449) = 332260 / 332260

GCD(740, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 740, 449, 77, 731 is 1

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1. What is the GCD of 740, 449, 77, 731?

GCD of 740, 449, 77, 731 is 1

2. Where do I get the detailed procedure to find GCD of 740, 449, 77, 731?

You can find a detailed procedure to find GCD of 740, 449, 77, 731 on our page.

3. How to find GCD of 740, 449, 77, 731 on a calculator?

You can find the GCD of 740, 449, 77, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.