GCD of 458, 902, 771 Calculator

Given Input numbers are 458, 902, 771

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 458, 902, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 902, 771 is 1.

Therefore, GCD of numbers 458, 902, 771 is 1

Given Input Data is 458, 902, 771

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 771 is 3 x 257

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(458, 902) = 206558

GCD(458, 902) = ( 458 x 902 ) / 206558

GCD(458, 902) = 413116 / 206558

GCD(458, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

GCD of 458, 902, 771 is 1

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1. What is the GCD of 458, 902, 771?

GCD of 458, 902, 771 is 1

2. Where do I get the detailed procedure to find GCD of 458, 902, 771?

You can find a detailed procedure to find GCD of 458, 902, 771 on our page.

3. How to find GCD of 458, 902, 771 on a calculator?

You can find the GCD of 458, 902, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.