GCD of 28, 742, 243, 153 Calculator

Given Input numbers are 28, 742, 243, 153

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

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 28, 742, 243, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 742, 243, 153 is 1.

Therefore, GCD of numbers 28, 742, 243, 153 is 1

Given Input Data is 28, 742, 243, 153

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(28, 742) = 1484

GCD(28, 742) = ( 28 x 742 ) / 1484

GCD(28, 742) = 20776 / 1484

GCD(28, 742) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 243

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

LCM(14, 243) = 3402

GCD(14, 243) = ( 14 x 243 ) / 3402

GCD(14, 243) = 3402 / 3402

GCD(14, 243) = 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 28, 742, 243, 153 is 1

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• GCD of 59, 854, 605, 763
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1. What is the GCD of 28, 742, 243, 153?

GCD of 28, 742, 243, 153 is 1

2. Where do I get the detailed procedure to find GCD of 28, 742, 243, 153?

You can find a detailed procedure to find GCD of 28, 742, 243, 153 on our page.

3. How to find GCD of 28, 742, 243, 153 on a calculator?

You can find the GCD of 28, 742, 243, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.