GCD of 153, 548, 216, 738 Calculator

Given Input numbers are 153, 548, 216, 738

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

Divisors of 153

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

1, 3, 9, 17, 51, 153

Divisors of 548

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

1, 2, 4, 137, 274, 548

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 153, 548, 216, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 548, 216, 738 is 1.

Therefore, GCD of numbers 153, 548, 216, 738 is 1

Given Input Data is 153, 548, 216, 738

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(153, 548) = 83844

GCD(153, 548) = ( 153 x 548 ) / 83844

GCD(153, 548) = 83844 / 83844

GCD(153, 548) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 153, 548, 216, 738 is 1

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1. What is the GCD of 153, 548, 216, 738?

GCD of 153, 548, 216, 738 is 1

2. Where do I get the detailed procedure to find GCD of 153, 548, 216, 738?

You can find a detailed procedure to find GCD of 153, 548, 216, 738 on our page.

3. How to find GCD of 153, 548, 216, 738 on a calculator?

You can find the GCD of 153, 548, 216, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.