GCD of 29, 705, 266, 103 Calculator

Given Input numbers are 29, 705, 266, 103

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 29, 705, 266, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 705, 266, 103 is 1.

Therefore, GCD of numbers 29, 705, 266, 103 is 1

Given Input Data is 29, 705, 266, 103

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

Prime Factorization of 29 is 29

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 103 is 103

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(29, 705) = 20445

GCD(29, 705) = ( 29 x 705 ) / 20445

GCD(29, 705) = 20445 / 20445

GCD(29, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 29, 705, 266, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 517, 786, 305
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• GCD of 22, 997, 410, 879
• GCD of 30, 258, 845, 241

1. What is the GCD of 29, 705, 266, 103?

GCD of 29, 705, 266, 103 is 1

2. Where do I get the detailed procedure to find GCD of 29, 705, 266, 103?

You can find a detailed procedure to find GCD of 29, 705, 266, 103 on our page.

3. How to find GCD of 29, 705, 266, 103 on a calculator?

You can find the GCD of 29, 705, 266, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.