GCD of 548, 209, 13, 153 Calculator

Given Input numbers are 548, 209, 13, 153

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 548, 209, 13, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 209, 13, 153 is 1.

Therefore, GCD of numbers 548, 209, 13, 153 is 1

Given Input Data is 548, 209, 13, 153

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 209 is 11 x 19

Prime Factorization of 13 is 13

Prime Factorization of 153 is 3 x 3 x 17

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(548, 209) = 114532

GCD(548, 209) = ( 548 x 209 ) / 114532

GCD(548, 209) = 114532 / 114532

GCD(548, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 548, 209, 13, 153 is 1

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1. What is the GCD of 548, 209, 13, 153?

GCD of 548, 209, 13, 153 is 1

2. Where do I get the detailed procedure to find GCD of 548, 209, 13, 153?

You can find a detailed procedure to find GCD of 548, 209, 13, 153 on our page.

3. How to find GCD of 548, 209, 13, 153 on a calculator?

You can find the GCD of 548, 209, 13, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.