GCD of 24, 340, 147, 491 Calculator

Given Input numbers are 24, 340, 147, 491

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 24, 340, 147, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 340, 147, 491 is 1.

Therefore, GCD of numbers 24, 340, 147, 491 is 1

Given Input Data is 24, 340, 147, 491

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 491 is 491

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(24, 340) = 2040

GCD(24, 340) = ( 24 x 340 ) / 2040

GCD(24, 340) = 8160 / 2040

GCD(24, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 147

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

LCM(4, 147) = 588

GCD(4, 147) = ( 4 x 147 ) / 588

GCD(4, 147) = 588 / 588

GCD(4, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 24, 340, 147, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 903, 135, 693
• GCD of 13, 461, 762, 675
• GCD of 56, 956, 887, 698
• GCD of 21, 377, 638, 770
• GCD of 63, 150, 493, 822

1. What is the GCD of 24, 340, 147, 491?

GCD of 24, 340, 147, 491 is 1

2. Where do I get the detailed procedure to find GCD of 24, 340, 147, 491?

You can find a detailed procedure to find GCD of 24, 340, 147, 491 on our page.

3. How to find GCD of 24, 340, 147, 491 on a calculator?

You can find the GCD of 24, 340, 147, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.