GCD of 692, 497, 960, 398 Calculator

Given Input numbers are 692, 497, 960, 398

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 692, 497, 960, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 497, 960, 398 is 1.

Therefore, GCD of numbers 692, 497, 960, 398 is 1

Given Input Data is 692, 497, 960, 398

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 497 is 7 x 71

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 398 is 2 x 199

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(692, 497) = 343924

GCD(692, 497) = ( 692 x 497 ) / 343924

GCD(692, 497) = 343924 / 343924

GCD(692, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 692, 497, 960, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 424, 360, 460
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• GCD of 513, 972, 320, 629

1. What is the GCD of 692, 497, 960, 398?

GCD of 692, 497, 960, 398 is 1

2. Where do I get the detailed procedure to find GCD of 692, 497, 960, 398?

You can find a detailed procedure to find GCD of 692, 497, 960, 398 on our page.

3. How to find GCD of 692, 497, 960, 398 on a calculator?

You can find the GCD of 692, 497, 960, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.