GCD of 343, 614, 892, 297 Calculator

Given Input numbers are 343, 614, 892, 297

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 297

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

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

Greatest Common Divisior

We found the divisors of 343, 614, 892, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 614, 892, 297 is 1.

Therefore, GCD of numbers 343, 614, 892, 297 is 1

Given Input Data is 343, 614, 892, 297

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 614 is 2 x 307

Prime Factorization of 892 is 2 x 2 x 223

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

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(343, 614) = 210602

GCD(343, 614) = ( 343 x 614 ) / 210602

GCD(343, 614) = 210602 / 210602

GCD(343, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 343, 614, 892, 297 is 1

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1. What is the GCD of 343, 614, 892, 297?

GCD of 343, 614, 892, 297 is 1

2. Where do I get the detailed procedure to find GCD of 343, 614, 892, 297?

You can find a detailed procedure to find GCD of 343, 614, 892, 297 on our page.

3. How to find GCD of 343, 614, 892, 297 on a calculator?

You can find the GCD of 343, 614, 892, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.