GCD of 227, 704, 709, 153 Calculator

Given Input numbers are 227, 704, 709, 153

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

Divisors of 227

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

1, 227

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

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 227, 704, 709, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 704, 709, 153 is 1.

Therefore, GCD of numbers 227, 704, 709, 153 is 1

Given Input Data is 227, 704, 709, 153

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

Prime Factorization of 227 is 227

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 709 is 709

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(227, 704) = 159808

GCD(227, 704) = ( 227 x 704 ) / 159808

GCD(227, 704) = 159808 / 159808

GCD(227, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 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 227, 704, 709, 153 is 1

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1. What is the GCD of 227, 704, 709, 153?

GCD of 227, 704, 709, 153 is 1

2. Where do I get the detailed procedure to find GCD of 227, 704, 709, 153?

You can find a detailed procedure to find GCD of 227, 704, 709, 153 on our page.

3. How to find GCD of 227, 704, 709, 153 on a calculator?

You can find the GCD of 227, 704, 709, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.