GCD of 422, 896, 677, 974 Calculator

Given Input numbers are 422, 896, 677, 974

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 422, 896, 677, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 896, 677, 974 is 1.

Therefore, GCD of numbers 422, 896, 677, 974 is 1

Given Input Data is 422, 896, 677, 974

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 677 is 677

Prime Factorization of 974 is 2 x 487

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(422, 896) = 189056

GCD(422, 896) = ( 422 x 896 ) / 189056

GCD(422, 896) = 378112 / 189056

GCD(422, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 677

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

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

GCD(2, 677) = 1354 / 1354

GCD(2, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 422, 896, 677, 974 is 1

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1. What is the GCD of 422, 896, 677, 974?

GCD of 422, 896, 677, 974 is 1

2. Where do I get the detailed procedure to find GCD of 422, 896, 677, 974?

You can find a detailed procedure to find GCD of 422, 896, 677, 974 on our page.

3. How to find GCD of 422, 896, 677, 974 on a calculator?

You can find the GCD of 422, 896, 677, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.