GCD of 474, 771, 958, 897 Calculator

Given Input numbers are 474, 771, 958, 897

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 771

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

1, 3, 257, 771

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 474, 771, 958, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 771, 958, 897 is 1.

Therefore, GCD of numbers 474, 771, 958, 897 is 1

Given Input Data is 474, 771, 958, 897

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 771 is 3 x 257

Prime Factorization of 958 is 2 x 479

Prime Factorization of 897 is 3 x 13 x 23

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(474, 771) = 121818

GCD(474, 771) = ( 474 x 771 ) / 121818

GCD(474, 771) = 365454 / 121818

GCD(474, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 958

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

LCM(3, 958) = 2874

GCD(3, 958) = ( 3 x 958 ) / 2874

GCD(3, 958) = 2874 / 2874

GCD(3, 958) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 474, 771, 958, 897 is 1

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1. What is the GCD of 474, 771, 958, 897?

GCD of 474, 771, 958, 897 is 1

2. Where do I get the detailed procedure to find GCD of 474, 771, 958, 897?

You can find a detailed procedure to find GCD of 474, 771, 958, 897 on our page.

3. How to find GCD of 474, 771, 958, 897 on a calculator?

You can find the GCD of 474, 771, 958, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.