GCD of 396, 901, 121, 214 Calculator

Given Input numbers are 396, 901, 121, 214

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

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 396, 901, 121, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 901, 121, 214 is 1.

Therefore, GCD of numbers 396, 901, 121, 214 is 1

Given Input Data is 396, 901, 121, 214

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 901 is 17 x 53

Prime Factorization of 121 is 11 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(396, 901) = 356796

GCD(396, 901) = ( 396 x 901 ) / 356796

GCD(396, 901) = 356796 / 356796

GCD(396, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 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 396, 901, 121, 214 is 1

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• GCD of 137, 955, 148, 433
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1. What is the GCD of 396, 901, 121, 214?

GCD of 396, 901, 121, 214 is 1

2. Where do I get the detailed procedure to find GCD of 396, 901, 121, 214?

You can find a detailed procedure to find GCD of 396, 901, 121, 214 on our page.

3. How to find GCD of 396, 901, 121, 214 on a calculator?

You can find the GCD of 396, 901, 121, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.