GCD of 740, 431, 42, 994 Calculator

Given Input numbers are 740, 431, 42, 994

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 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 740, 431, 42, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 431, 42, 994 is 1.

Therefore, GCD of numbers 740, 431, 42, 994 is 1

Given Input Data is 740, 431, 42, 994

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 431 is 431

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 994 is 2 x 7 x 71

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, 431) = 318940

GCD(740, 431) = ( 740 x 431 ) / 318940

GCD(740, 431) = 318940 / 318940

GCD(740, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 740, 431, 42, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 187, 22, 144
• GCD of 662, 354, 99, 467
• GCD of 102, 418, 27, 157
• GCD of 904, 993, 80, 210
• GCD of 584, 116, 38, 255

1. What is the GCD of 740, 431, 42, 994?

GCD of 740, 431, 42, 994 is 1

2. Where do I get the detailed procedure to find GCD of 740, 431, 42, 994?

You can find a detailed procedure to find GCD of 740, 431, 42, 994 on our page.

3. How to find GCD of 740, 431, 42, 994 on a calculator?

You can find the GCD of 740, 431, 42, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.