GCD of 784, 454, 748, 897 Calculator

Given Input numbers are 784, 454, 748, 897

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 784, 454, 748, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 454, 748, 897 is 1.

Therefore, GCD of numbers 784, 454, 748, 897 is 1

Given Input Data is 784, 454, 748, 897

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 454 is 2 x 227

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(784, 454) = 177968

GCD(784, 454) = ( 784 x 454 ) / 177968

GCD(784, 454) = 355936 / 177968

GCD(784, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

GCD of 784, 454, 748, 897 is 1

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1. What is the GCD of 784, 454, 748, 897?

GCD of 784, 454, 748, 897 is 1

2. Where do I get the detailed procedure to find GCD of 784, 454, 748, 897?

You can find a detailed procedure to find GCD of 784, 454, 748, 897 on our page.

3. How to find GCD of 784, 454, 748, 897 on a calculator?

You can find the GCD of 784, 454, 748, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.