GCD of 354, 297, 349, 931 Calculator

Given Input numbers are 354, 297, 349, 931

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 354, 297, 349, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 297, 349, 931 is 1.

Therefore, GCD of numbers 354, 297, 349, 931 is 1

Given Input Data is 354, 297, 349, 931

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 349 is 349

Prime Factorization of 931 is 7 x 7 x 19

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(354, 297) = 35046

GCD(354, 297) = ( 354 x 297 ) / 35046

GCD(354, 297) = 105138 / 35046

GCD(354, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 349

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

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

GCD(3, 349) = 1047 / 1047

GCD(3, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

GCD of 354, 297, 349, 931 is 1

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• GCD of 132, 701, 272, 659
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1. What is the GCD of 354, 297, 349, 931?

GCD of 354, 297, 349, 931 is 1

2. Where do I get the detailed procedure to find GCD of 354, 297, 349, 931?

You can find a detailed procedure to find GCD of 354, 297, 349, 931 on our page.

3. How to find GCD of 354, 297, 349, 931 on a calculator?

You can find the GCD of 354, 297, 349, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.