GCD of 782, 274, 336, 211 Calculator

Given Input numbers are 782, 274, 336, 211

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 782, 274, 336, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 274, 336, 211 is 1.

Therefore, GCD of numbers 782, 274, 336, 211 is 1

Given Input Data is 782, 274, 336, 211

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 274 is 2 x 137

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 211 is 211

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(782, 274) = 107134

GCD(782, 274) = ( 782 x 274 ) / 107134

GCD(782, 274) = 214268 / 107134

GCD(782, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 336

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

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

GCD(2, 336) = 672 / 336

GCD(2, 336) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 211

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

LCM(2, 211) = 422

GCD(2, 211) = ( 2 x 211 ) / 422

GCD(2, 211) = 422 / 422

GCD(2, 211) = 1

GCD of 782, 274, 336, 211 is 1

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1. What is the GCD of 782, 274, 336, 211?

GCD of 782, 274, 336, 211 is 1

2. Where do I get the detailed procedure to find GCD of 782, 274, 336, 211?

You can find a detailed procedure to find GCD of 782, 274, 336, 211 on our page.

3. How to find GCD of 782, 274, 336, 211 on a calculator?

You can find the GCD of 782, 274, 336, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.