GCD of 909, 713, 71, 147 Calculator

Given Input numbers are 909, 713, 71, 147

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 909, 713, 71, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 713, 71, 147 is 1.

Therefore, GCD of numbers 909, 713, 71, 147 is 1

Given Input Data is 909, 713, 71, 147

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 713 is 23 x 31

Prime Factorization of 71 is 71

Prime Factorization of 147 is 3 x 7 x 7

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(909, 713) = 648117

GCD(909, 713) = ( 909 x 713 ) / 648117

GCD(909, 713) = 648117 / 648117

GCD(909, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 909, 713, 71, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 831, 70, 558
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• GCD of 655, 198, 53, 708

1. What is the GCD of 909, 713, 71, 147?

GCD of 909, 713, 71, 147 is 1

2. Where do I get the detailed procedure to find GCD of 909, 713, 71, 147?

You can find a detailed procedure to find GCD of 909, 713, 71, 147 on our page.

3. How to find GCD of 909, 713, 71, 147 on a calculator?

You can find the GCD of 909, 713, 71, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.