GCD of 301, 896, 74, 698 Calculator

Given Input numbers are 301, 896, 74, 698

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 301, 896, 74, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 896, 74, 698 is 1.

Therefore, GCD of numbers 301, 896, 74, 698 is 1

Given Input Data is 301, 896, 74, 698

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

Prime Factorization of 301 is 7 x 43

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 698 is 2 x 349

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(301, 896) = 38528

GCD(301, 896) = ( 301 x 896 ) / 38528

GCD(301, 896) = 269696 / 38528

GCD(301, 896) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 74

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

LCM(7, 74) = 518

GCD(7, 74) = ( 7 x 74 ) / 518

GCD(7, 74) = 518 / 518

GCD(7, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 301, 896, 74, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 863, 90, 713
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• GCD of 360, 934, 33, 556
• GCD of 733, 603, 37, 622

1. What is the GCD of 301, 896, 74, 698?

GCD of 301, 896, 74, 698 is 1

2. Where do I get the detailed procedure to find GCD of 301, 896, 74, 698?

You can find a detailed procedure to find GCD of 301, 896, 74, 698 on our page.

3. How to find GCD of 301, 896, 74, 698 on a calculator?

You can find the GCD of 301, 896, 74, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.