GCD of 153, 748, 227, 732 Calculator

Given Input numbers are 153, 748, 227, 732

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 153, 748, 227, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 748, 227, 732 is 1.

Therefore, GCD of numbers 153, 748, 227, 732 is 1

Given Input Data is 153, 748, 227, 732

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 748 is 2 x 2 x 11 x 17

Prime Factorization of 227 is 227

Prime Factorization of 732 is 2 x 2 x 3 x 61

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, 748) = 6732

GCD(153, 748) = ( 153 x 748 ) / 6732

GCD(153, 748) = 114444 / 6732

GCD(153, 748) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 227

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

LCM(17, 227) = 3859

GCD(17, 227) = ( 17 x 227 ) / 3859

GCD(17, 227) = 3859 / 3859

GCD(17, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 153, 748, 227, 732 is 1

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1. What is the GCD of 153, 748, 227, 732?

GCD of 153, 748, 227, 732 is 1

2. Where do I get the detailed procedure to find GCD of 153, 748, 227, 732?

You can find a detailed procedure to find GCD of 153, 748, 227, 732 on our page.

3. How to find GCD of 153, 748, 227, 732 on a calculator?

You can find the GCD of 153, 748, 227, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.