GCD of 742, 587, 42, 383 Calculator

Given Input numbers are 742, 587, 42, 383

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

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 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 742, 587, 42, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 587, 42, 383 is 1.

Therefore, GCD of numbers 742, 587, 42, 383 is 1

Given Input Data is 742, 587, 42, 383

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 587 is 587

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 383 is 383

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(742, 587) = 435554

GCD(742, 587) = ( 742 x 587 ) / 435554

GCD(742, 587) = 435554 / 435554

GCD(742, 587) = 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 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 742, 587, 42, 383 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 719, 62, 683
• GCD of 943, 336, 87, 294
• GCD of 653, 335, 18, 147
• GCD of 343, 400, 28, 917
• GCD of 107, 935, 32, 617

1. What is the GCD of 742, 587, 42, 383?

GCD of 742, 587, 42, 383 is 1

2. Where do I get the detailed procedure to find GCD of 742, 587, 42, 383?

You can find a detailed procedure to find GCD of 742, 587, 42, 383 on our page.

3. How to find GCD of 742, 587, 42, 383 on a calculator?

You can find the GCD of 742, 587, 42, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.