GCD of 343, 874, 99, 214 Calculator

Given Input numbers are 343, 874, 99, 214

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 343, 874, 99, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 874, 99, 214 is 1.

Therefore, GCD of numbers 343, 874, 99, 214 is 1

Given Input Data is 343, 874, 99, 214

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 874 is 2 x 19 x 23

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 214 is 2 x 107

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, 874) = 299782

GCD(343, 874) = ( 343 x 874 ) / 299782

GCD(343, 874) = 299782 / 299782

GCD(343, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 343, 874, 99, 214 is 1

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• GCD of 239, 921, 81, 161
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• GCD of 558, 536, 85, 937

1. What is the GCD of 343, 874, 99, 214?

GCD of 343, 874, 99, 214 is 1

2. Where do I get the detailed procedure to find GCD of 343, 874, 99, 214?

You can find a detailed procedure to find GCD of 343, 874, 99, 214 on our page.

3. How to find GCD of 343, 874, 99, 214 on a calculator?

You can find the GCD of 343, 874, 99, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.