GCD of 71, 455, 913, 892 Calculator

Given Input numbers are 71, 455, 913, 892

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 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 71, 455, 913, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 455, 913, 892 is 1.

Therefore, GCD of numbers 71, 455, 913, 892 is 1

Given Input Data is 71, 455, 913, 892

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 913 is 11 x 83

Prime Factorization of 892 is 2 x 2 x 223

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 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 71, 455, 913, 892 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 227, 911, 232
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• GCD of 99, 103, 546, 563
• GCD of 51, 131, 718, 310
• GCD of 13, 407, 354, 192

1. What is the GCD of 71, 455, 913, 892?

GCD of 71, 455, 913, 892 is 1

2. Where do I get the detailed procedure to find GCD of 71, 455, 913, 892?

You can find a detailed procedure to find GCD of 71, 455, 913, 892 on our page.

3. How to find GCD of 71, 455, 913, 892 on a calculator?

You can find the GCD of 71, 455, 913, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.