GCD of 71, 455, 109, 110 Calculator

Given Input numbers are 71, 455, 109, 110

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 71, 455, 109, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 455, 109, 110 is 1.

Therefore, GCD of numbers 71, 455, 109, 110 is 1

Given Input Data is 71, 455, 109, 110

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

Prime Factorization of 71 is 71

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 109 is 109

Prime Factorization of 110 is 2 x 5 x 11

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(71, 455) = 32305

GCD(71, 455) = ( 71 x 455 ) / 32305

GCD(71, 455) = 32305 / 32305

GCD(71, 455) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 71, 455, 109, 110 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 786, 290, 950
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• GCD of 37, 207, 129, 566
• GCD of 16, 355, 768, 930
• GCD of 89, 879, 594, 660

1. What is the GCD of 71, 455, 109, 110?

GCD of 71, 455, 109, 110 is 1

2. Where do I get the detailed procedure to find GCD of 71, 455, 109, 110?

You can find a detailed procedure to find GCD of 71, 455, 109, 110 on our page.

3. How to find GCD of 71, 455, 109, 110 on a calculator?

You can find the GCD of 71, 455, 109, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.