GCD of 291, 214, 376, 378 Calculator

Given Input numbers are 291, 214, 376, 378

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 214

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

1, 2, 107, 214

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 291, 214, 376, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 214, 376, 378 is 1.

Therefore, GCD of numbers 291, 214, 376, 378 is 1

Given Input Data is 291, 214, 376, 378

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 214 is 2 x 107

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 378 is 2 x 3 x 3 x 3 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(291, 214) = 62274

GCD(291, 214) = ( 291 x 214 ) / 62274

GCD(291, 214) = 62274 / 62274

GCD(291, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 291, 214, 376, 378 is 1

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1. What is the GCD of 291, 214, 376, 378?

GCD of 291, 214, 376, 378 is 1

2. Where do I get the detailed procedure to find GCD of 291, 214, 376, 378?

You can find a detailed procedure to find GCD of 291, 214, 376, 378 on our page.

3. How to find GCD of 291, 214, 376, 378 on a calculator?

You can find the GCD of 291, 214, 376, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.