GCD of 261, 107, 22, 705 Calculator

Given Input numbers are 261, 107, 22, 705

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

Divisors of 261

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

1, 3, 9, 29, 87, 261

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 261, 107, 22, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 107, 22, 705 is 1.

Therefore, GCD of numbers 261, 107, 22, 705 is 1

Given Input Data is 261, 107, 22, 705

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 107 is 107

Prime Factorization of 22 is 2 x 11

Prime Factorization of 705 is 3 x 5 x 47

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(261, 107) = 27927

GCD(261, 107) = ( 261 x 107 ) / 27927

GCD(261, 107) = 27927 / 27927

GCD(261, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 261, 107, 22, 705 is 1

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• GCD of 742, 128, 65, 721
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1. What is the GCD of 261, 107, 22, 705?

GCD of 261, 107, 22, 705 is 1

2. Where do I get the detailed procedure to find GCD of 261, 107, 22, 705?

You can find a detailed procedure to find GCD of 261, 107, 22, 705 on our page.

3. How to find GCD of 261, 107, 22, 705 on a calculator?

You can find the GCD of 261, 107, 22, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.