GCD of 53, 48, 45, 11 Calculator

Given Input numbers are 53, 48, 45, 11

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Greatest Common Divisior

We found the divisors of 53, 48, 45, 11 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 48, 45, 11 is 1.

Therefore, GCD of numbers 53, 48, 45, 11 is 1

Given Input Data is 53, 48, 45, 11

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

Prime Factorization of 53 is 53

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 11 is 11

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, 48) = 2544

GCD(53, 48) = ( 53 x 48 ) / 2544

GCD(53, 48) = 2544 / 2544

GCD(53, 48) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

GCD of 53, 48, 45, 11 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 67, 37, 67
• GCD of 45, 90, 66, 11
• GCD of 94, 25, 31, 82
• GCD of 52, 79, 13, 46
• GCD of 40, 52, 25, 67

1. What is the GCD of 53, 48, 45, 11?

GCD of 53, 48, 45, 11 is 1

2. Where do I get the detailed procedure to find GCD of 53, 48, 45, 11?

You can find a detailed procedure to find GCD of 53, 48, 45, 11 on our page.

3. How to find GCD of 53, 48, 45, 11 on a calculator?

You can find the GCD of 53, 48, 45, 11 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.