GCD of 154, 729, 563, 148 Calculator

Given Input numbers are 154, 729, 563, 148

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 154, 729, 563, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 729, 563, 148 is 1.

Therefore, GCD of numbers 154, 729, 563, 148 is 1

Given Input Data is 154, 729, 563, 148

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 563 is 563

Prime Factorization of 148 is 2 x 2 x 37

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(154, 729) = 112266

GCD(154, 729) = ( 154 x 729 ) / 112266

GCD(154, 729) = 112266 / 112266

GCD(154, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 154, 729, 563, 148 is 1

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1. What is the GCD of 154, 729, 563, 148?

GCD of 154, 729, 563, 148 is 1

2. Where do I get the detailed procedure to find GCD of 154, 729, 563, 148?

You can find a detailed procedure to find GCD of 154, 729, 563, 148 on our page.

3. How to find GCD of 154, 729, 563, 148 on a calculator?

You can find the GCD of 154, 729, 563, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.