GCD of 49, 14, 24, 20 Calculator

Given Input numbers are 49, 14, 24, 20

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Greatest Common Divisior

We found the divisors of 49, 14, 24, 20 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 14, 24, 20 is 1.

Therefore, GCD of numbers 49, 14, 24, 20 is 1

Given Input Data is 49, 14, 24, 20

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 14 is 2 x 7

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

Prime Factorization of 20 is 2 x 2 x 5

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(49, 14) = 98

GCD(49, 14) = ( 49 x 14 ) / 98

GCD(49, 14) = 686 / 98

GCD(49, 14) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 24

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

LCM(7, 24) = 168

GCD(7, 24) = ( 7 x 24 ) / 168

GCD(7, 24) = 168 / 168

GCD(7, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

GCD of 49, 14, 24, 20 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 63, 20, 29
• GCD of 29, 30, 63, 25
• GCD of 36, 33, 17, 97
• GCD of 28, 75, 15, 65
• GCD of 32, 89, 64, 47

1. What is the GCD of 49, 14, 24, 20?

GCD of 49, 14, 24, 20 is 1

2. Where do I get the detailed procedure to find GCD of 49, 14, 24, 20?

You can find a detailed procedure to find GCD of 49, 14, 24, 20 on our page.

3. How to find GCD of 49, 14, 24, 20 on a calculator?

You can find the GCD of 49, 14, 24, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.