GCD of 740, 120, 39, 304 Calculator

Given Input numbers are 740, 120, 39, 304

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 740, 120, 39, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 120, 39, 304 is 1.

Therefore, GCD of numbers 740, 120, 39, 304 is 1

Given Input Data is 740, 120, 39, 304

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 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 39 is 3 x 13

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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, 120) = 4440

GCD(740, 120) = ( 740 x 120 ) / 4440

GCD(740, 120) = 88800 / 4440

GCD(740, 120) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 39

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

LCM(20, 39) = 780

GCD(20, 39) = ( 20 x 39 ) / 780

GCD(20, 39) = 780 / 780

GCD(20, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 740, 120, 39, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 608, 46, 209
• GCD of 905, 751, 92, 168
• GCD of 648, 572, 51, 122
• GCD of 638, 105, 18, 739
• GCD of 124, 351, 90, 249

1. What is the GCD of 740, 120, 39, 304?

GCD of 740, 120, 39, 304 is 1

2. Where do I get the detailed procedure to find GCD of 740, 120, 39, 304?

You can find a detailed procedure to find GCD of 740, 120, 39, 304 on our page.

3. How to find GCD of 740, 120, 39, 304 on a calculator?

You can find the GCD of 740, 120, 39, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.