GCD of 53, 30, 20, 14 Calculator

Given Input numbers are 53, 30, 20, 14

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 14

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

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 53, 30, 20, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 30, 20, 14 is 1.

Therefore, GCD of numbers 53, 30, 20, 14 is 1

Given Input Data is 53, 30, 20, 14

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

Prime Factorization of 53 is 53

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 14 is 2 x 7

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(53, 30) = 1590

GCD(53, 30) = ( 53 x 30 ) / 1590

GCD(53, 30) = 1590 / 1590

GCD(53, 30) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 53, 30, 20, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 56, 25, 82
• GCD of 58, 86, 90, 60
• GCD of 59, 44, 30, 11
• GCD of 34, 26, 60, 46
• GCD of 78, 46, 79, 54

1. What is the GCD of 53, 30, 20, 14?

GCD of 53, 30, 20, 14 is 1

2. Where do I get the detailed procedure to find GCD of 53, 30, 20, 14?

You can find a detailed procedure to find GCD of 53, 30, 20, 14 on our page.

3. How to find GCD of 53, 30, 20, 14 on a calculator?

You can find the GCD of 53, 30, 20, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.