GCD of 497, 946, 28, 353 Calculator

Given Input numbers are 497, 946, 28, 353

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

Divisors of 497

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

1, 7, 71, 497

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 497, 946, 28, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 946, 28, 353 is 1.

Therefore, GCD of numbers 497, 946, 28, 353 is 1

Given Input Data is 497, 946, 28, 353

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 353 is 353

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(497, 946) = 470162

GCD(497, 946) = ( 497 x 946 ) / 470162

GCD(497, 946) = 470162 / 470162

GCD(497, 946) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 497, 946, 28, 353 is 1

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• GCD of 404, 399, 70, 768
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• GCD of 184, 811, 52, 657

1. What is the GCD of 497, 946, 28, 353?

GCD of 497, 946, 28, 353 is 1

2. Where do I get the detailed procedure to find GCD of 497, 946, 28, 353?

You can find a detailed procedure to find GCD of 497, 946, 28, 353 on our page.

3. How to find GCD of 497, 946, 28, 353 on a calculator?

You can find the GCD of 497, 946, 28, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.