GCD of 355, 261, 107, 940 Calculator

Given Input numbers are 355, 261, 107, 940

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 355, 261, 107, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 261, 107, 940 is 1.

Therefore, GCD of numbers 355, 261, 107, 940 is 1

Given Input Data is 355, 261, 107, 940

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 107 is 107

Prime Factorization of 940 is 2 x 2 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(355, 261) = 92655

GCD(355, 261) = ( 355 x 261 ) / 92655

GCD(355, 261) = 92655 / 92655

GCD(355, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 355, 261, 107, 940 is 1

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1. What is the GCD of 355, 261, 107, 940?

GCD of 355, 261, 107, 940 is 1

2. Where do I get the detailed procedure to find GCD of 355, 261, 107, 940?

You can find a detailed procedure to find GCD of 355, 261, 107, 940 on our page.

3. How to find GCD of 355, 261, 107, 940 on a calculator?

You can find the GCD of 355, 261, 107, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.