GCD of 23, 712, 261, 655 Calculator

Given Input numbers are 23, 712, 261, 655

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 23, 712, 261, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 712, 261, 655 is 1.

Therefore, GCD of numbers 23, 712, 261, 655 is 1

Given Input Data is 23, 712, 261, 655

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

Prime Factorization of 23 is 23

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 655 is 5 x 131

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(23, 712) = 16376

GCD(23, 712) = ( 23 x 712 ) / 16376

GCD(23, 712) = 16376 / 16376

GCD(23, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 23, 712, 261, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 870, 738, 356
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• GCD of 22, 436, 415, 119
• GCD of 14, 550, 157, 876
• GCD of 55, 363, 428, 323

1. What is the GCD of 23, 712, 261, 655?

GCD of 23, 712, 261, 655 is 1

2. Where do I get the detailed procedure to find GCD of 23, 712, 261, 655?

You can find a detailed procedure to find GCD of 23, 712, 261, 655 on our page.

3. How to find GCD of 23, 712, 261, 655 on a calculator?

You can find the GCD of 23, 712, 261, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.