GCD of 740, 301, 408 Calculator

Given Input numbers are 740, 301, 408

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 740, 301, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 301, 408 is 1.

Therefore, GCD of numbers 740, 301, 408 is 1

Given Input Data is 740, 301, 408

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 301 is 7 x 43

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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, 301) = 222740

GCD(740, 301) = ( 740 x 301 ) / 222740

GCD(740, 301) = 222740 / 222740

GCD(740, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 740, 301, 408 is 1

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1. What is the GCD of 740, 301, 408?

GCD of 740, 301, 408 is 1

2. Where do I get the detailed procedure to find GCD of 740, 301, 408?

You can find a detailed procedure to find GCD of 740, 301, 408 on our page.

3. How to find GCD of 740, 301, 408 on a calculator?

You can find the GCD of 740, 301, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.