GCD of 191, 735, 208, 343 Calculator

Given Input numbers are 191, 735, 208, 343

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

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 343

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

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 191, 735, 208, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 191, 735, 208, 343 is 1.

Therefore, GCD of numbers 191, 735, 208, 343 is 1

Given Input Data is 191, 735, 208, 343

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

Prime Factorization of 191 is 191

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 343 is 7 x 7 x 7

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(191, 735) = 140385

GCD(191, 735) = ( 191 x 735 ) / 140385

GCD(191, 735) = 140385 / 140385

GCD(191, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 191, 735, 208, 343 is 1

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1. What is the GCD of 191, 735, 208, 343?

GCD of 191, 735, 208, 343 is 1

2. Where do I get the detailed procedure to find GCD of 191, 735, 208, 343?

You can find a detailed procedure to find GCD of 191, 735, 208, 343 on our page.

3. How to find GCD of 191, 735, 208, 343 on a calculator?

You can find the GCD of 191, 735, 208, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.