GCD of 23, 705, 628, 265 Calculator

Given Input numbers are 23, 705, 628, 265

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 23, 705, 628, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 705, 628, 265 is 1.

Therefore, GCD of numbers 23, 705, 628, 265 is 1

Given Input Data is 23, 705, 628, 265

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

Prime Factorization of 23 is 23

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 265 is 5 x 53

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, 705) = 16215

GCD(23, 705) = ( 23 x 705 ) / 16215

GCD(23, 705) = 16215 / 16215

GCD(23, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 23, 705, 628, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 769, 228, 979
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• GCD of 56, 878, 273, 161

1. What is the GCD of 23, 705, 628, 265?

GCD of 23, 705, 628, 265 is 1

2. Where do I get the detailed procedure to find GCD of 23, 705, 628, 265?

You can find a detailed procedure to find GCD of 23, 705, 628, 265 on our page.

3. How to find GCD of 23, 705, 628, 265 on a calculator?

You can find the GCD of 23, 705, 628, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.